57340400 has 60 divisors (see below), whose sum is σ = 148370712. Its totient is φ = 21169920.

The previous prime is 57340399. The next prime is 57340411. The reversal of 57340400 is 404375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314 + ... + 10713.

Almost surely, 2^57340400 is an apocalyptic number.

57340400 is a gapful number since it is divisible by the number (50) 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 57340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74185356).

57340400 is an abundant number, since it is smaller than the sum of its proper divisors (91030312).

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

57340400 is a wasteful number, since it uses less digits than its factorization.

57340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 57340400 is about 7572.3444190026. The cubic root of 57340400 is about 385.6146924264.

Adding to 57340400 its reverse (404375), we get a palindrome (57744775).

The spelling of 57340400 in words is "fifty-seven million, three hundred forty thousand, four hundred".