57464001 has 24 divisors (see below), whose sum is σ = 97179264. Its totient is φ = 32034240.

The previous prime is 57463981. The next prime is 57464021. The reversal of 57464001 is 10046475.

57464001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57463981) and next prime (57464021).

It is not a de Polignac number, because 57464001 - 2⁵ = 57463969 is a prime.

It is a super-2 number, since 2×57464001² = 6604222821856002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57464021) 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, 8541 + ... + 13706.

It is an arithmetic number, because the mean of its divisors is an integer number (4049136).

Almost surely, 2^57464001 is an apocalyptic number.

It is an amenable number.

57464001 is a deficient number, since it is larger than the sum of its proper divisors (39715263).

57464001 is a wasteful number, since it uses less digits than its factorization.

57464001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301 (or 22298 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57464001 is about 7580.5013686431. The cubic root of 57464001 is about 385.8915661844.

The spelling of 57464001 in words is "fifty-seven million, four hundred sixty-four thousand, one".