457240560 has 240 divisors, whose sum is σ = 1679356800. Its totient is φ = 102584832.

The previous prime is 457240559. The next prime is 457240577. The reversal of 457240560 is 65042754.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×457240560² = 418137859418227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693511 + ... + 694169.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 2^457240560 is an apocalyptic number.

457240560 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 457240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839678400).

457240560 is an abundant number, since it is smaller than the sum of its proper divisors (1222116240).

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

457240560 is a wasteful number, since it uses less digits than its factorization.

457240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 457240560 is about 21383.1840472835. The cubic root of 457240560 is about 770.3975908112.

The spelling of 457240560 in words is "four hundred fifty-seven million, two hundred forty thousand, five hundred sixty".