57749004 has 48 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 19145808.

The previous prime is 57748997. The next prime is 57749053. The reversal of 57749004 is 40094775.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57749004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20149 + ... + 22835.

It is an arithmetic number, because the mean of its divisors is an integer number (3136000).

Almost surely, 2^57749004 is an apocalyptic number.

57749004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57749004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264000).

57749004 is an abundant number, since it is smaller than the sum of its proper divisors (92778996).

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

57749004 is a wasteful number, since it uses less digits than its factorization.

57749004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57749004 is about 7599.2765445140. The cubic root of 57749004 is about 386.5284804798.

The spelling of 57749004 in words is "fifty-seven million, seven hundred forty-nine thousand, four".