57625480 has 128 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 19353600.

The previous prime is 57625471. The next prime is 57625481. The reversal of 57625480 is 8452675.

It is a happy number.

57625480 is a nontrivial binomial coefficient, being equal to C(10736, 2).

It is a super-3 number, since 3×57625480³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57625481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509904 + ... + 510016.

It is an arithmetic number, because the mean of its divisors is an integer number (1192725).

Almost surely, 2^57625480 is an apocalyptic number.

57625480 is the 10735-th triangular number and also the 5368-th hexagonal number.

57625480 is the 3579-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 57625480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

57625480 is an abundant number, since it is smaller than the sum of its proper divisors (95043320).

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

57625480 is a wasteful number, since it uses less digits than its factorization.

57625480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 57625480 is about 7591.1448411949. The cubic root of 57625480 is about 386.2526914417.

The spelling of 57625480 in words is "fifty-seven million, six hundred twenty-five thousand, four hundred eighty".