456993940 has 96 divisors (see below), whose sum is σ = 1086059520. Its totient is φ = 160525440.

The previous prime is 456993937. The next prime is 456993959. The reversal of 456993940 is 49399654.

It is a super-2 number, since 2×456993940² = 417686922393447200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7745631 + ... + 7745689.

It is an arithmetic number, because the mean of its divisors is an integer number (11313120).

Almost surely, 2^456993940 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 456993940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543029760).

456993940 is an abundant number, since it is smaller than the sum of its proper divisors (629065580).

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

456993940 is a wasteful number, since it uses less digits than its factorization.

456993940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The square root of 456993940 is about 21377.4165885403. The cubic root of 456993940 is about 770.2590571525.

The spelling of 456993940 in words is "four hundred fifty-six million, nine hundred ninety-three thousand, nine hundred forty".