57437440 has 72 divisors (see below), whose sum is σ = 143635968. Its totient is φ = 21964800.

The previous prime is 57437383. The next prime is 57437447. The reversal of 57437440 is 4473475.

It is a junction number, because it is equal to n+sod(n) for n = 57437396 and 57437405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57437447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28465 + ... + 30415.

It is an arithmetic number, because the mean of its divisors is an integer number (1994944).

Almost surely, 2^57437440 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 57437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71817984).

57437440 is an abundant number, since it is smaller than the sum of its proper divisors (86198528).

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

57437440 is a wasteful number, since it uses less digits than its factorization.

57437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 57437440 is about 7578.7492371763. The cubic root of 57437440 is about 385.8321014452.

The spelling of 57437440 in words is "fifty-seven million, four hundred thirty-seven thousand, four hundred forty".