456738688 has 64 divisors (see below), whose sum is σ = 1065345120. Its totient is φ = 190955520.

The previous prime is 456738679. The next prime is 456738691. The reversal of 456738688 is 886837654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×456738688² = 417220458231922688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30520 + ... + 42952.

Almost surely, 2^456738688 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 456738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532672560).

456738688 is an abundant number, since it is smaller than the sum of its proper divisors (608606432).

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

456738688 is a wasteful number, since it uses less digits than its factorization.

456738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12495 (or 12483 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The square root of 456738688 is about 21371.4456226059. The cubic root of 456738688 is about 770.1156221495.

The spelling of 456738688 in words is "four hundred fifty-six million, seven hundred thirty-eight thousand, six hundred eighty-eight".