57795480 has 96 divisors (see below), whose sum is σ = 192956400. Its totient is φ = 14992128.

The previous prime is 57795469. The next prime is 57795499. The reversal of 57795480 is 8459775.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11151 + ... + 15489.

Almost surely, 2^57795480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

57795480 is an abundant number, since it is smaller than the sum of its proper divisors (135160920).

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

57795480 is a wasteful number, since it uses less digits than its factorization.

57795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 57795480 is about 7602.3338521799. Note that the first 3 decimals coincide. The cubic root of 57795480 is about 386.6321444935.

The spelling of 57795480 in words is "fifty-seven million, seven hundred ninety-five thousand, four hundred eighty".