57406752 has 192 divisors, whose sum is σ = 190512000. Its totient is φ = 16671744.

The previous prime is 57406729. The next prime is 57406753. The reversal of 57406752 is 25760475.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (57406753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213274 + ... + 213542.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 2^57406752 is an apocalyptic number.

57406752 is a gapful number since it is divisible by the number (52) 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 57406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

57406752 is an abundant number, since it is smaller than the sum of its proper divisors (133105248).

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

57406752 is a wasteful number, since it uses less digits than its factorization.

57406752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57406752 is about 7576.7243581907. The cubic root of 57406752 is about 385.7633743520.

The spelling of 57406752 in words is "fifty-seven million, four hundred six thousand, seven hundred fifty-two".