57464 has 16 divisors (see below), whose sum is σ = 117720. Its totient is φ = 26080.

The previous prime is 57457. The next prime is 57467. The reversal of 57464 is 46475.

57464 = T₆₁ + T₆₂ + ... + T₈₂.

It is a super-2 number, since 2×57464² = 6604222592, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57467) by changing a digit.

57464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 414.

2⁵⁷⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

57464 is an abundant number, since it is smaller than the sum of its proper divisors (60256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58860).

57464 is a wasteful number, since it uses less digits than its factorization.

57464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 57464 is about 239.7164992236. The cubic root of 57464 is about 38.5891563946.

The spelling of 57464 in words is "fifty-seven thousand, four hundred sixty-four".