57975456 has 288 divisors, whose sum is σ = 205922304. Its totient is φ = 13939200.

The previous prime is 57975451. The next prime is 57975461. The reversal of 57975456 is 65457975.

It is an interprime number because it is at equal distance from previous prime (57975451) and next prime (57975461).

It is a super-2 number, since 2×57975456² = 6722306996815872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57975451) 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 47 ways as a sum of consecutive naturals, for example, 1870161 + ... + 1870191.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 2^57975456 is an apocalyptic number.

57975456 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 57975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152).

57975456 is an abundant number, since it is smaller than the sum of its proper divisors (147946848).

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

57975456 is a wasteful number, since it uses less digits than its factorization.

57975456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 48.

The square root of 57975456 is about 7614.1615428096. The cubic root of 57975456 is about 387.0330547520.

The spelling of 57975456 in words is "fifty-seven million, nine hundred seventy-five thousand, four hundred fifty-six".