57552480 has 144 divisors (see below), whose sum is σ = 208039104. Its totient is φ = 14438400.

The previous prime is 57552457. The next prime is 57552491. The reversal of 57552480 is 8425575.

It is a happy number.

57552480 is a `hidden beast` number, since 57 + 5 + 524 + 80 = 666.

57552480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23305 + ... + 25655.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^57552480 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 57552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

57552480 is an abundant number, since it is smaller than the sum of its proper divisors (150486624).

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

57552480 is a wasteful number, since it uses less digits than its factorization.

57552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 57552480 is about 7586.3350835565. The cubic root of 57552480 is about 386.0895207905.

The spelling of 57552480 in words is "fifty-seven million, five hundred fifty-two thousand, four hundred eighty".