57277440 has 264 divisors, whose sum is σ = 218423088. Its totient is φ = 13762560.

The previous prime is 57277439. The next prime is 57277453. The reversal of 57277440 is 4477275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 = 57277395 and 57277404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506824 + ... + 506936.

Almost surely, 2^57277440 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 57277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109211544).

57277440 is an abundant number, since it is smaller than the sum of its proper divisors (161145648).

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

57277440 is a wasteful number, since it uses less digits than its factorization.

57277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 57277440 is about 7568.1860442249. The cubic root of 57277440 is about 385.4735052219.

The spelling of 57277440 in words is "fifty-seven million, two hundred seventy-seven thousand, four hundred forty".