57351400 has 48 divisors (see below), whose sum is σ = 134366400. Its totient is φ = 22764480.

The previous prime is 57351391. The next prime is 57351401. The reversal of 57351400 is 415375.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (57351401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26769 + ... + 28831.

It is an arithmetic number, because the mean of its divisors is an integer number (2799300).

Almost surely, 2^57351400 is an apocalyptic number.

57351400 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 57351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67183200).

57351400 is an abundant number, since it is smaller than the sum of its proper divisors (77015000).

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

57351400 is a wasteful number, since it uses less digits than its factorization.

57351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 57351400 is about 7573.0707114089. The cubic root of 57351400 is about 385.6393492152.

Adding to 57351400 its reverse (415375), we get a palindrome (57766775).

The spelling of 57351400 in words is "fifty-seven million, three hundred fifty-one thousand, four hundred".