57401800 has 48 divisors (see below), whose sum is σ = 137083860. Its totient is φ = 22337280.

The previous prime is 57401789. The next prime is 57401819. The reversal of 57401800 is 810475.

It can be written as a sum of positive squares in 6 ways, for example, as 43007364 + 14394436 = 6558^2 + 3794^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3522 + ... + 11278.

Almost surely, 2^57401800 is an apocalyptic number.

57401800 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 57401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68541930).

57401800 is an abundant number, since it is smaller than the sum of its proper divisors (79682060).

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

57401800 is a wasteful number, since it uses less digits than its factorization.

57401800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 57401800 is about 7576.3975608464. The cubic root of 57401800 is about 385.7522818406.

The spelling of 57401800 in words is "fifty-seven million, four hundred one thousand, eight hundred".