553722400 has 288 divisors, whose sum is σ = 1721139840. Its totient is φ = 168960000.

The previous prime is 553722361. The next prime is 553722431. The reversal of 553722400 is 4227355.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5482350 + ... + 5482450.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^553722400 is an apocalyptic number.

553722400 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 553722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920).

553722400 is an abundant number, since it is smaller than the sum of its proper divisors (1167417440).

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

553722400 is a wasteful number, since it uses less digits than its factorization.

553722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 553722400 is about 23531.3068060403. The cubic root of 553722400 is about 821.1655050307.

Adding to 553722400 its reverse (4227355), we get a palindrome (557949755).

The spelling of 553722400 in words is "five hundred fifty-three million, seven hundred twenty-two thousand, four hundred".