456525760 has 28 divisors (see below), whose sum is σ = 1087102728. Its totient is φ = 182610176.

The previous prime is 456525733. The next prime is 456525761. The reversal of 456525760 is 67525654.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456525761) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 713002 + ... + 713641.

Almost surely, 2^456525760 is an apocalyptic number.

456525760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456525760 is an abundant number, since it is smaller than the sum of its proper divisors (630576968).

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

456525760 is a wasteful number, since it uses less digits than its factorization.

456525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426660 (or 1426650 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 456525760 is about 21366.4634415712. The cubic root of 456525760 is about 769.9959295900.

The spelling of 456525760 in words is "four hundred fifty-six million, five hundred twenty-five thousand, seven hundred sixty".