552290400 has 252 divisors, whose sum is σ = 2023628292. Its totient is φ = 147121920.

The previous prime is 552290399. The next prime is 552290419. The reversal of 552290400 is 4092255.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 582727 + ... + 583673.

It is an arithmetic number, because the mean of its divisors is an integer number (8030271).

Almost surely, 2^552290400 is an apocalyptic number.

552290400 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 552290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011814146).

552290400 is an abundant number, since it is smaller than the sum of its proper divisors (1471337892).

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

552290400 is an equidigital number, since it uses as much as digits as its factorization.

552290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 552290400 is about 23500.8595587481. The cubic root of 552290400 is about 820.4570127441.

The spelling of 552290400 in words is "five hundred fifty-two million, two hundred ninety thousand, four hundred".