456988896 has 432 divisors, whose sum is σ = 1694032704. Its totient is φ = 115734528.

The previous prime is 456988891. The next prime is 456988897. The reversal of 456988896 is 698889654.

456988896 is a `hidden beast` number, since 456 + 98 + 8 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456988891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8622406 + ... + 8622458.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2^456988896 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 456988896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847016352).

456988896 is an abundant number, since it is smaller than the sum of its proper divisors (1237043808).

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

456988896 is a wasteful number, since it uses less digits than its factorization.

456988896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 456988896 is about 21377.2986132486. The cubic root of 456988896 is about 770.2562232703.

The spelling of 456988896 in words is "four hundred fifty-six million, nine hundred eighty-eight thousand, eight hundred ninety-six".