456256450 has 48 divisors (see below), whose sum is σ = 943439616. Its totient is φ = 163022400.

The previous prime is 456256433. The next prime is 456256457. The reversal of 456256450 is 54652654.

It is a super-3 number, since 3×456256450³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (456256457) 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, 8829 + ... + 31471.

It is an arithmetic number, because the mean of its divisors is an integer number (19654992).

Almost surely, 2^456256450 is an apocalyptic number.

456256450 is an abundant number, since it is smaller than the sum of its proper divisors (487183166).

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

456256450 is a wasteful number, since it uses less digits than its factorization.

456256450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22699 (or 22694 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 456256450 is about 21360.1603458401. The cubic root of 456256450 is about 769.8444898747.

The spelling of 456256450 in words is "four hundred fifty-six million, two hundred fifty-six thousand, four hundred fifty".