450000 has 90 divisors (see below), whose sum is σ = 1574118. Its totient is φ = 120000.

The previous prime is 449989. The next prime is 450001. The reversal of 450000 is 54.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 242064 = 456^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89998 + ... + 90002.

2⁴⁵⁰⁰⁰⁰ is an apocalyptic number.

450000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787059).

450000 is an abundant number, since it is smaller than the sum of its proper divisors (1124118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450000 is an equidigital number, since it uses as much as digits as its factorization.

450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 450000 is about 670.8203932499. The cubic root of 450000 is about 76.6309432394.

Multiplying 450000 by its product of nonzero digits (20), we get a square (9000000 = 3000²).

450000 divided by its product of nonzero digits (20) gives a square (22500 = 150²).

Adding to 450000 its reverse (54), we get a palindrome (450054).

Multiplying 450000 by its reverse (54), we get a 5-th power (24300000 = 30⁵).

The spelling of 450000 in words is "four hundred fifty thousand".