57744801 has 27 divisors (see below), whose sum is σ = 89202841. Its totient is φ = 35988864.

The previous prime is 57744773. The next prime is 57744803. The reversal of 57744801 is 10844775.

The square root of 57744801 is 7599.

It is a perfect power (a square), and thus also a powerful number.

57744801 is a `hidden beast` number, since 577 + 4 + 4 + 80 + 1 = 666.

57744801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1134225 + 56610576 = 1065^2 + 7524^2 .

It is not a de Polignac number, because 57744801 - 2¹⁷ = 57613729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57744803) 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 26 ways as a sum of consecutive naturals, for example, 387475 + ... + 387623.

Almost surely, 2^57744801 is an apocalyptic number.

57744801 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

57744801 is the 7599-th square number.

57744801 is the 3800-th centered octagonal number.

It is an amenable number.

57744801 is a deficient number, since it is larger than the sum of its proper divisors (31458040).

57744801 is a wasteful number, since it uses less digits than its factorization.

57744801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The cubic root of 57744801 is about 386.5191030100.

Multiplying 57744801 by its sum of digits (36), we get a square (2078812836 = 45594²).

The spelling of 57744801 in words is "fifty-seven million, seven hundred forty-four thousand, eight hundred one".