457544960 has 72 divisors (see below), whose sum is σ = 1125700296. Its totient is φ = 178053120.

The previous prime is 457544951. The next prime is 457544963. The reversal of 457544960 is 69445754.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 445378816 = 3488^2 + 21104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457544963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42530 + ... + 52190.

Almost surely, 2^457544960 is an apocalyptic number.

457544960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562850148).

457544960 is an abundant number, since it is smaller than the sum of its proper divisors (668155336).

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

457544960 is an equidigital number, since it uses as much as digits as its factorization.

457544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9705 counting only the distinct ones).

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

The square root of 457544960 is about 21390.3006056483. The cubic root of 457544960 is about 770.5685125144.

The spelling of 457544960 in words is "four hundred fifty-seven million, five hundred forty-four thousand, nine hundred sixty".