552586400 has 72 divisors (see below), whose sum is σ = 1361592540. Its totient is φ = 218972160.

The previous prime is 552586381. The next prime is 552586417. The reversal of 552586400 is 4685255.

It can be written as a sum of positive squares in 6 ways, for example, as 212110096 + 340476304 = 14564^2 + 18452^2 .

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, 84032 + ... + 90368.

Almost surely, 2^552586400 is an apocalyptic number.

552586400 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 552586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680796270).

552586400 is an abundant number, since it is smaller than the sum of its proper divisors (809006140).

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

552586400 is a wasteful number, since it uses less digits than its factorization.

552586400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 552586400 is about 23507.1563571607. The cubic root of 552586400 is about 820.6035611919.

The spelling of 552586400 in words is "five hundred fifty-two million, five hundred eighty-six thousand, four hundred".