57451760 has 40 divisors (see below), whose sum is σ = 134034576. Its totient is φ = 22901760.

The previous prime is 57451759. The next prime is 57451777. The reversal of 57451760 is 6715475.

57451760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 57451760.

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 7 ways as a sum of consecutive naturals, for example, 25895 + ... + 28025.

Almost surely, 2^57451760 is an apocalyptic number.

It is an amenable number.

57451760 is an abundant number, since it is smaller than the sum of its proper divisors (76582816).

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

57451760 is a wasteful number, since it uses less digits than its factorization.

57451760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 57451760 is about 7579.6939252189. The cubic root of 57451760 is about 385.8641633233.

The spelling of 57451760 in words is "fifty-seven million, four hundred fifty-one thousand, seven hundred sixty".