457365680 has 40 divisors (see below), whose sum is σ = 1068756000. Its totient is φ = 182020608.

The previous prime is 457365677. The next prime is 457365683. The reversal of 457365680 is 86563754.

It is an interprime number because it is at equal distance from previous prime (457365677) and next prime (457365683).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (457365683) 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 7 ways as a sum of consecutive naturals, for example, 1556 + ... + 30284.

It is an arithmetic number, because the mean of its divisors is an integer number (26718900).

Almost surely, 2^457365680 is an apocalyptic number.

457365680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457365680 is an abundant number, since it is smaller than the sum of its proper divisors (611390320).

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

457365680 is a wasteful number, since it uses less digits than its factorization.

457365680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28941 (or 28935 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 457365680 is about 21386.1095106146. The cubic root of 457365680 is about 770.4678553241.

The spelling of 457365680 in words is "four hundred fifty-seven million, three hundred sixty-five thousand, six hundred eighty".