456775320 has 64 divisors (see below), whose sum is σ = 1392812640. Its totient is φ = 119808000.

The previous prime is 456775313. The next prime is 456775321. The reversal of 456775320 is 23577654.

It is a super-2 number, since 2×456775320² = 417287385922204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456775321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23881 + ... + 38520.

Almost surely, 2^456775320 is an apocalyptic number.

456775320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456775320 is an abundant number, since it is smaller than the sum of its proper divisors (936037320).

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

456775320 is a wasteful number, since it uses less digits than its factorization.

456775320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62476 (or 62472 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 456775320 is about 21372.3026368241. The cubic root of 456775320 is about 770.1362102319.

The spelling of 456775320 in words is "four hundred fifty-six million, seven hundred seventy-five thousand, three hundred twenty".