5715400 has 72 divisors (see below), whose sum is σ = 14421510. Its totient is φ = 2099200.

The previous prime is 5715379. The next prime is 5715403. The reversal of 5715400 is 45175.

It can be written as a sum of positive squares in 9 ways, for example, as 155236 + 5560164 = 394^2 + 2358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139380 + ... + 139420.

Almost surely, 2^5715400 is an apocalyptic number.

5715400 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 5715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210755).

5715400 is an abundant number, since it is smaller than the sum of its proper divisors (8706110).

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

5715400 is a wasteful number, since it uses less digits than its factorization.

5715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5715400 is about 2390.6902768866. The cubic root of 5715400 is about 178.7923270100.

The spelling of 5715400 in words is "five million, seven hundred fifteen thousand, four hundred".