457012160 has 224 divisors, whose sum is σ = 1271747520. Its totient is φ = 156119040.

The previous prime is 457012151. The next prime is 457012169. The reversal of 457012160 is 61210754.

It is an interprime number because it is at equal distance from previous prime (457012151) and next prime (457012169).

It is a super-2 number, since 2×457012160² = 417720228775731200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457012169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12351662 + ... + 12351698.

Almost surely, 2^457012160 is an apocalyptic number.

457012160 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 457012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635873760).

457012160 is an abundant number, since it is smaller than the sum of its proper divisors (814735360).

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

457012160 is a wasteful number, since it uses less digits than its factorization.

457012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 457012160 is about 21377.8427349440. The cubic root of 457012160 is about 770.2692935636.

The spelling of 457012160 in words is "four hundred fifty-seven million, twelve thousand, one hundred sixty".