456736896 has 384 divisors, whose sum is σ = 1731225600. Its totient is φ = 111974400.

The previous prime is 456736879. The next prime is 456736933. The reversal of 456736896 is 698637654.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685241 + ... + 1685511.

It is an arithmetic number, because the mean of its divisors is an integer number (4508400).

Almost surely, 2^456736896 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 456736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865612800).

456736896 is an abundant number, since it is smaller than the sum of its proper divisors (1274488704).

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

456736896 is a wasteful number, since it uses less digits than its factorization.

456736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 456736896 is about 21371.4036974645. The cubic root of 456736896 is about 770.1146149733.

The spelling of 456736896 in words is "four hundred fifty-six million, seven hundred thirty-six thousand, eight hundred ninety-six".