552306400 has 144 divisors (see below), whose sum is σ = 1417784256. Its totient is φ = 209848320.

The previous prime is 552306397. The next prime is 552306413. The reversal of 552306400 is 4603255.

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

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 23 ways as a sum of consecutive naturals, for example, 1391002 + ... + 1391398.

It is an arithmetic number, because the mean of its divisors is an integer number (9845724).

Almost surely, 2^552306400 is an apocalyptic number.

552306400 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 552306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708892128).

552306400 is an abundant number, since it is smaller than the sum of its proper divisors (865477856).

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

552306400 is a wasteful number, since it uses less digits than its factorization.

552306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 552306400 is about 23501.1999693633. The cubic root of 552306400 is about 820.4649356203.

Adding to 552306400 its reverse (4603255), we get a palindrome (556909655).

The spelling of 552306400 in words is "five hundred fifty-two million, three hundred six thousand, four hundred".