456254456 has 64 divisors (see below), whose sum is σ = 998131200. Its totient is φ = 191486592.

The previous prime is 456254431. The next prime is 456254479. The reversal of 456254456 is 654452654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039085 + ... + 1039523.

It is an arithmetic number, because the mean of its divisors is an integer number (15595800).

Almost surely, 2^456254456 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 456254456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499065600).

456254456 is an abundant number, since it is smaller than the sum of its proper divisors (541876744).

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

456254456 is a wasteful number, since it uses less digits than its factorization.

456254456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its digits is 576000, while the sum is 41.

The square root of 456254456 is about 21360.1136701095. The cubic root of 456254456 is about 769.8433683766.

The spelling of 456254456 in words is "four hundred fifty-six million, two hundred fifty-four thousand, four hundred fifty-six".