57740480 has 112 divisors (see below), whose sum is σ = 159105600. Its totient is φ = 19550208.

The previous prime is 57740407. The next prime is 57740489. The reversal of 57740480 is 8404775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 57740480.

It is not an unprimeable number, because it can be changed into a prime (57740489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333674 + ... + 333846.

Almost surely, 2^57740480 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 57740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552800).

57740480 is an abundant number, since it is smaller than the sum of its proper divisors (101365120).

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

57740480 is a wasteful number, since it uses less digits than its factorization.

57740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 57740480 is about 7598.7156809556. The cubic root of 57740480 is about 386.5094617917.

The spelling of 57740480 in words is "fifty-seven million, seven hundred forty thousand, four hundred eighty".