553570400 has 72 divisors (see below), whose sum is σ = 1359225504. Its totient is φ = 220147200.

The previous prime is 553570399. The next prime is 553570411. The reversal of 553570400 is 4075355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142889 + ... + 146711.

It is an arithmetic number, because the mean of its divisors is an integer number (18878132).

Almost surely, 2^553570400 is an apocalyptic number.

553570400 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 553570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679612752).

553570400 is an abundant number, since it is smaller than the sum of its proper divisors (805655104).

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

553570400 is a wasteful number, since it uses less digits than its factorization.

553570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 553570400 is about 23528.0768444852. The cubic root of 553570400 is about 821.0903599282.

The spelling of 553570400 in words is "five hundred fifty-three million, five hundred seventy thousand, four hundred".