5562400 has 72 divisors (see below), whose sum is σ = 14413140. Its totient is φ = 2088960.

The previous prime is 5562397. The next prime is 5562419. The reversal of 5562400 is 42655.

It can be written as a sum of positive squares in 6 ways, for example, as 4112784 + 1449616 = 2028^2 + 1204^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13396 + ... + 13804.

Almost surely, 2^5562400 is an apocalyptic number.

5562400 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 5562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206570).

5562400 is an abundant number, since it is smaller than the sum of its proper divisors (8850740).

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

5562400 is a wasteful number, since it uses less digits than its factorization.

5562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5562400 is about 2358.4740829613. The cubic root of 5562400 is about 177.1824647572.

The spelling of 5562400 in words is "five million, five hundred sixty-two thousand, four hundred".