450266256 has 160 divisors (see below), whose sum is σ = 1484428800. Its totient is φ = 129237120.

The previous prime is 450266249. The next prime is 450266261. The reversal of 450266256 is 652662054.

450266256 is a `hidden beast` number, since 4 + 5 + 0 + 26 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 450266256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87795 + ... + 92781.

It is an arithmetic number, because the mean of its divisors is an integer number (9277680).

Almost surely, 2^450266256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450266256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742214400).

450266256 is an abundant number, since it is smaller than the sum of its proper divisors (1034162544).

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

450266256 is a wasteful number, since it uses less digits than its factorization.

450266256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 450266256 is about 21219.4782216717. The cubic root of 450266256 is about 766.4605392502.

The spelling of 450266256 in words is "four hundred fifty million, two hundred sixty-six thousand, two hundred fifty-six".