552140800 has 102 divisors (see below), whose sum is σ = 1373361938. Its totient is φ = 220200960.

The previous prime is 552140789. The next prime is 552140833. The reversal of 552140800 is 8041255.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 542703616 = 3072^2 + 23296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638232 + ... + 1638568.

Almost surely, 2^552140800 is an apocalyptic number.

552140800 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 552140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686680969).

552140800 is an abundant number, since it is smaller than the sum of its proper divisors (821221138).

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

552140800 is an frugal number, since it uses more digits than its factorization.

552140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 552140800 is about 23497.6764808778. The cubic root of 552140800 is about 820.3829264463.

The spelling of 552140800 in words is "five hundred fifty-two million, one hundred forty thousand, eight hundred".