553365120 has 512 divisors, whose sum is σ = 2326579200. Its totient is φ = 108380160.

The previous prime is 553365047. The next prime is 553365149. The reversal of 553365120 is 21563355.

It is a super-2 number, since 2×553365120² = 612425912065228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808862 + ... + 2809058.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^553365120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

553365120 is an abundant number, since it is smaller than the sum of its proper divisors (1773214080).

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

553365120 is a wasteful number, since it uses less digits than its factorization.

553365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 553365120 is about 23523.7139924800. The cubic root of 553365120 is about 820.9888526533.

The spelling of 553365120 in words is "five hundred fifty-three million, three hundred sixty-five thousand, one hundred twenty".