57734900 has 18 divisors (see below), whose sum is σ = 125284950. Its totient is φ = 23093920.

The previous prime is 57734891. The next prime is 57734903. The reversal of 57734900 is 943775.

It can be written as a sum of positive squares in 3 ways, for example, as 1993744 + 55741156 = 1412^2 + 7466^2 .

It is a super-4 number, since 4×57734900⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57734903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288575 + ... + 288774.

It is an arithmetic number, because the mean of its divisors is an integer number (6960275).

Almost surely, 2^57734900 is an apocalyptic number.

57734900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57734900 is an abundant number, since it is smaller than the sum of its proper divisors (67550050).

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

57734900 is a wasteful number, since it uses less digits than its factorization.

57734900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577363 (or 577356 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 57734900 is about 7598.3485047739. The cubic root of 57734900 is about 386.4970107217.

The spelling of 57734900 in words is "fifty-seven million, seven hundred thirty-four thousand, nine hundred".