450150000 has 120 divisors (see below), whose sum is σ = 1454000688. Its totient is φ = 120000000.

The previous prime is 450149989. The next prime is 450150007. The reversal of 450150000 is 51054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450150007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148500 + ... + 151500.

Almost surely, 2^450150000 is an apocalyptic number.

450150000 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 450150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727000344).

450150000 is an abundant number, since it is smaller than the sum of its proper divisors (1003850688).

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

450150000 is an equidigital number, since it uses as much as digits as its factorization.

450150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 450150000 is about 21216.7386749236. The cubic root of 450150000 is about 766.3945684272.

450150000 divided by its product of nonzero digits (100) gives a triangular number (4501500 = T₃₀₀₀).

The spelling of 450150000 in words is "four hundred fifty million, one hundred fifty thousand".