457136960 has 224 divisors, whose sum is σ = 1369405440. Its totient is φ = 141723648.

The previous prime is 457136957. The next prime is 457136971. The reversal of 457136960 is 69631754.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978647 + ... + 979113.

Almost surely, 2^457136960 is an apocalyptic number.

457136960 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 457136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

457136960 is an abundant number, since it is smaller than the sum of its proper divisors (912268480).

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

457136960 is a wasteful number, since it uses less digits than its factorization.

457136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 457136960 is about 21380.7614457484. The cubic root of 457136960 is about 770.3394017338.

The spelling of 457136960 in words is "four hundred fifty-seven million, one hundred thirty-six thousand, nine hundred sixty".