57290400 has 216 divisors, whose sum is σ = 206666460. Its totient is φ = 14929920.

The previous prime is 57290329. The next prime is 57290411. The reversal of 57290400 is 409275.

57290400 is a `hidden beast` number, since 572 + 90 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28259856 + 29030544 = 5316^2 + 5388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525546 + ... + 525654.

Almost surely, 2^57290400 is an apocalyptic number.

57290400 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 57290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103333230).

57290400 is an abundant number, since it is smaller than the sum of its proper divisors (149376060).

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

57290400 is a wasteful number, since it uses less digits than its factorization.

57290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57290400 is about 7569.0422115351. The cubic root of 57290400 is about 385.5025763529.

Adding to 57290400 its reverse (409275), we get a palindrome (57699675).

The spelling of 57290400 in words is "fifty-seven million, two hundred ninety thousand, four hundred".