57479200 has 36 divisors (see below), whose sum is σ = 140323050. Its totient is φ = 22991360.

The previous prime is 57479197. The next prime is 57479203. The reversal of 57479200 is 297475.

It is an interprime number because it is at equal distance from previous prime (57479197) and next prime (57479203).

It can be written as a sum of positive squares in 3 ways, for example, as 56010256 + 1468944 = 7484^2 + 1212^2 .

It is not an unprimeable number, because it can be changed into a prime (57479203) 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, 35125 + ... + 36724.

Almost surely, 2^57479200 is an apocalyptic number.

57479200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57479200 is an abundant number, since it is smaller than the sum of its proper divisors (82843850).

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

57479200 is a wasteful number, since it uses less digits than its factorization.

57479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71869 (or 71856 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 57479200 is about 7581.5038086121. The cubic root of 57479200 is about 385.9255854474.

The spelling of 57479200 in words is "fifty-seven million, four hundred seventy-nine thousand, two hundred".