57408880 has 80 divisors (see below), whose sum is σ = 141955200. Its totient is φ = 21530880.

The previous prime is 57408863. The next prime is 57408887. The reversal of 57408880 is 8880475.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57408887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271975 + ... + 272185.

It is an arithmetic number, because the mean of its divisors is an integer number (1774440).

Almost surely, 2^57408880 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 57408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70977600).

57408880 is an abundant number, since it is smaller than the sum of its proper divisors (84546320).

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

57408880 is a wasteful number, since it uses less digits than its factorization.

57408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 57408880 is about 7576.8647869683. The cubic root of 57408880 is about 385.7681408896.

The spelling of 57408880 in words is "fifty-seven million, four hundred eight thousand, eight hundred eighty".