553352400 has 360 divisors, whose sum is σ = 2065242816. Its totient is φ = 136857600.

The previous prime is 553352389. The next prime is 553352473. The reversal of 553352400 is 4253355.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3394719 + ... + 3394881.

Almost surely, 2^553352400 is an apocalyptic number.

553352400 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 553352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032621408).

553352400 is an abundant number, since it is smaller than the sum of its proper divisors (1511890416).

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

553352400 is a wasteful number, since it uses less digits than its factorization.

553352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 553352400 is about 23523.4436254559. The cubic root of 553352400 is about 820.9825620158.

The spelling of 553352400 in words is "five hundred fifty-three million, three hundred fifty-two thousand, four hundred".