450275840 has 80 divisors (see below), whose sum is σ = 1233885312. Its totient is φ = 154374144.

The previous prime is 450275803. The next prime is 450275849. The reversal of 450275840 is 48572054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 450275840.

It is not an unprimeable number, because it can be changed into a prime (450275849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5357 + ... + 30483.

Almost surely, 2^450275840 is an apocalyptic number.

450275840 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 450275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616942656).

450275840 is an abundant number, since it is smaller than the sum of its proper divisors (783609472).

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

450275840 is an equidigital number, since it uses as much as digits as its factorization.

450275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25157 (or 25141 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 450275840 is about 21219.7040507166. The cubic root of 450275840 is about 766.4659772960.

The spelling of 450275840 in words is "four hundred fifty million, two hundred seventy-five thousand, eight hundred forty".