57327400 has 96 divisors (see below), whose sum is σ = 152099640. Its totient is φ = 19906560.

The previous prime is 57327379. The next prime is 57327421. The reversal of 57327400 is 472375.

57327400 = T₄₂₄ + T₄₂₅ + ... + T₇₄₈.

It is an interprime number because it is at equal distance from previous prime (57327379) and next prime (57327421).

It can be written as a sum of positive squares in 12 ways, for example, as 16597476 + 40729924 = 4074^2 + 6382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43552 + ... + 44848.

Almost surely, 2^57327400 is an apocalyptic number.

57327400 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 57327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76049820).

57327400 is an abundant number, since it is smaller than the sum of its proper divisors (94772240).

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

57327400 is a wasteful number, since it uses less digits than its factorization.

57327400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 57327400 is about 7571.4859836098. The cubic root of 57327400 is about 385.5855485192.

Adding to 57327400 its reverse (472375), we get a palindrome (57799775).

The spelling of 57327400 in words is "fifty-seven million, three hundred twenty-seven thousand, four hundred".