57380400 has 600 divisors, whose sum is σ = 267911424. Its totient is φ = 11404800.

The previous prime is 57380381. The next prime is 57380417. The reversal of 57380400 is 408375.

57380400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494789 + ... + 2494811.

Almost surely, 2^57380400 is an apocalyptic number.

57380400 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 57380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133955712).

57380400 is an abundant number, since it is smaller than the sum of its proper divisors (210531024).

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

57380400 is a wasteful number, since it uses less digits than its factorization.

57380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57380400 is about 7574.9851485003. The cubic root of 57380400 is about 385.7043383678.

Adding to 57380400 its reverse (408375), we get a palindrome (57788775).

The spelling of 57380400 in words is "fifty-seven million, three hundred eighty thousand, four hundred".