57709440 has 192 divisors, whose sum is σ = 204787440. Its totient is φ = 14966784.

The previous prime is 57709433. The next prime is 57709447. The reversal of 57709440 is 4490775.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57709433) and next prime (57709447).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×57709440² = 6660758930227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 57709395 and 57709404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57709447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247564 + ... + 247796.

Almost surely, 2^57709440 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 57709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102393720).

57709440 is an abundant number, since it is smaller than the sum of its proper divisors (147078000).

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

57709440 is a wasteful number, since it uses less digits than its factorization.

57709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

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

The square root of 57709440 is about 7596.6729559722. The cubic root of 57709440 is about 386.4401897423.

The spelling of 57709440 in words is "fifty-seven million, seven hundred nine thousand, four hundred forty".