57387456 has 168 divisors, whose sum is σ = 192942464. Its totient is φ = 15966720.

The previous prime is 57387439. The next prime is 57387457. The reversal of 57387456 is 65478375.

57387456 is a `hidden beast` number, since 573 + 8 + 74 + 5 + 6 = 666.

57387456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57387457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173211 + ... + 173541.

Almost surely, 2^57387456 is an apocalyptic number.

57387456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96471232).

57387456 is an abundant number, since it is smaller than the sum of its proper divisors (135555008).

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

57387456 is a wasteful number, since it uses less digits than its factorization.

57387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57387456 is about 7575.4508776706. The cubic root of 57387456 is about 385.7201475888.

The spelling of 57387456 in words is "fifty-seven million, three hundred eighty-seven thousand, four hundred fifty-six".