57407504 has 80 divisors (see below), whose sum is σ = 146883456. Its totient is φ = 21043200.

The previous prime is 57407479. The next prime is 57407513. The reversal of 57407504 is 40570475.

57407504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×57407504⁴ (a number of 32 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 19574 + ... + 22314.

Almost surely, 2^57407504 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 57407504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73441728).

57407504 is an abundant number, since it is smaller than the sum of its proper divisors (89475952).

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

57407504 is a wasteful number, since it uses less digits than its factorization.

57407504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 57407504 is about 7576.7739836952. The cubic root of 57407504 is about 385.7650587810.

Adding to 57407504 its reverse (40570475), we get a palindrome (97977979).

The spelling of 57407504 in words is "fifty-seven million, four hundred seven thousand, five hundred four".