457252560 has 80 divisors (see below), whose sum is σ = 1574988480. Its totient is φ = 121933440.

The previous prime is 457252547. The next prime is 457252597. The reversal of 457252560 is 65252754.

457252560 is a `hidden beast` number, since 4 + 5 + 72 + 525 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×457252560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103686 + ... + 108005.

It is an arithmetic number, because the mean of its divisors is an integer number (19687356).

Almost surely, 2^457252560 is an apocalyptic number.

457252560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457252560 is an abundant number, since it is smaller than the sum of its proper divisors (1117735920).

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

457252560 is a wasteful number, since it uses less digits than its factorization.

457252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211713 (or 211701 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 457252560 is about 21383.4646397631. The cubic root of 457252560 is about 770.4043302908.

The spelling of 457252560 in words is "four hundred fifty-seven million, two hundred fifty-two thousand, five hundred sixty".