57464560 has 80 divisors (see below), whose sum is σ = 138419712. Its totient is φ = 22176000.

The previous prime is 57464543. The next prime is 57464611. The reversal of 57464560 is 6546475.

It is a happy number.

57464560 is a nontrivial binomial coefficient, being equal to C(10721, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380485 + ... + 380635.

Almost surely, 2^57464560 is an apocalyptic number.

57464560 is the 10720-th triangular number.

57464560 is the 3574-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209856).

57464560 is an abundant number, since it is smaller than the sum of its proper divisors (80955152).

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

57464560 is a wasteful number, since it uses less digits than its factorization.

57464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 57464560 is about 7580.5382394656. The cubic root of 57464560 is about 385.8928174761.

The spelling of 57464560 in words is "fifty-seven million, four hundred sixty-four thousand, five hundred sixty".