57409440 has 192 divisors, whose sum is σ = 201180672. Its totient is φ = 13644800.

The previous prime is 57409421. The next prime is 57409447. The reversal of 57409440 is 4490475.

It is a happy number.

It is a super-2 number, since 2×57409440² = 6591687602227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (57409447) 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 31 ways as a sum of consecutive naturals, for example, 438175 + ... + 438305.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 2^57409440 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 57409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100590336).

57409440 is an abundant number, since it is smaller than the sum of its proper divisors (143771232).

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

57409440 is a wasteful number, since it uses less digits than its factorization.

57409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57409440 is about 7576.9017414772. The cubic root of 57409440 is about 385.7693952220.

The spelling of 57409440 in words is "fifty-seven million, four hundred nine thousand, four hundred forty".