57465540 has 72 divisors (see below), whose sum is σ = 190165248. Its totient is φ = 13930560.

The previous prime is 57465533. The next prime is 57465581. The reversal of 57465540 is 4556475.

It is a happy number.

57465540 is a `hidden beast` number, since 57 + 4 + 65 + 540 = 666.

It is a super-3 number, since 3×57465540³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 57465495 and 57465504.

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, 12532 + ... + 16491.

It is an arithmetic number, because the mean of its divisors is an integer number (2641184).

Almost surely, 2^57465540 is an apocalyptic number.

It is an amenable number.

57465540 is an abundant number, since it is smaller than the sum of its proper divisors (132699708).

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

57465540 is a wasteful number, since it uses less digits than its factorization.

57465540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29049 (or 29044 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 57465540 is about 7580.6028783996. The cubic root of 57465540 is about 385.8950111343.

The spelling of 57465540 in words is "fifty-seven million, four hundred sixty-five thousand, five hundred forty".