57450960 has 120 divisors (see below), whose sum is σ = 220521600. Its totient is φ = 13130496.

The previous prime is 57450949. The next prime is 57450977. The reversal of 57450960 is 6905475.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57450960² = 6601225609843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 660 + ... + 10739.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^57450960 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 57450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

57450960 is an abundant number, since it is smaller than the sum of its proper divisors (163070640).

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

57450960 is a wasteful number, since it uses less digits than its factorization.

57450960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57450960 is about 7579.6411524557. The cubic root of 57450960 is about 385.8623722974.

The spelling of 57450960 in words is "fifty-seven million, four hundred fifty thousand, nine hundred sixty".