57042480 has 320 divisors, whose sum is σ = 215986176. Its totient is φ = 12288000.

The previous prime is 57042457. The next prime is 57042481. The reversal of 57042480 is 8424075.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (57042481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391260 + ... + 1391300.

Almost surely, 2^57042480 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 57042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

57042480 is an abundant number, since it is smaller than the sum of its proper divisors (158943696).

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

57042480 is a wasteful number, since it uses less digits than its factorization.

57042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 57042480 is about 7552.6472180289. The cubic root of 57042480 is about 384.9456942575.

The spelling of 57042480 in words is "fifty-seven million, forty-two thousand, four hundred eighty".