5626400 has 72 divisors (see below), whose sum is σ = 14819364. Its totient is φ = 2073600.

The previous prime is 5626399. The next prime is 5626429. The reversal of 5626400 is 46265.

It can be written as a sum of positive squares in 6 ways, for example, as 839056 + 4787344 = 916^2 + 2188^2 .

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, 10130 + ... + 10670.

Almost surely, 2^5626400 is an apocalyptic number.

5626400 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 5626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409682).

5626400 is an abundant number, since it is smaller than the sum of its proper divisors (9192964).

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

5626400 is a wasteful number, since it uses less digits than its factorization.

5626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5626400 is about 2372.0033726789. The cubic root of 5626400 is about 177.8594185210.

The spelling of 5626400 in words is "five million, six hundred twenty-six thousand, four hundred".