57259440 has 240 divisors, whose sum is σ = 229851360. Its totient is φ = 13063680.

The previous prime is 57259439. The next prime is 57259469. The reversal of 57259440 is 4495275.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×57259440² = 6557286938227200, 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 = 57259395 and 57259404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105570 + ... + 106110.

It is an arithmetic number, because the mean of its divisors is an integer number (957714).

Almost surely, 2^57259440 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 57259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114925680).

57259440 is an abundant number, since it is smaller than the sum of its proper divisors (172591920).

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

57259440 is a wasteful number, since it uses less digits than its factorization.

57259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 57259440 is about 7566.9967622565. The cubic root of 57259440 is about 385.4331213752.

The spelling of 57259440 in words is "fifty-seven million, two hundred fifty-nine thousand, four hundred forty".