57540480 has 128 divisors (see below), whose sum is σ = 191531520. Its totient is φ = 14665728.

The previous prime is 57540479. The next prime is 57540481. The reversal of 57540480 is 8404575.

It is an interprime number because it is at equal distance from previous prime (57540479) and next prime (57540481).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57540481) 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, 43509 + ... + 44811.

It is an arithmetic number, because the mean of its divisors is an integer number (1496340).

Almost surely, 2^57540480 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 57540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95765760).

57540480 is an abundant number, since it is smaller than the sum of its proper divisors (133991040).

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

57540480 is a wasteful number, since it uses less digits than its factorization.

57540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 57540480 is about 7585.5441465988. The cubic root of 57540480 is about 386.0626850150.

The spelling of 57540480 in words is "fifty-seven million, five hundred forty thousand, four hundred eighty".