553509120 has 288 divisors, whose sum is σ = 1916127360. Its totient is φ = 135659520.

The previous prime is 553509101. The next prime is 553509133. The reversal of 553509120 is 21905355.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3982011 + ... + 3982149.

It is an arithmetic number, because the mean of its divisors is an integer number (6653220).

Almost surely, 2^553509120 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 553509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958063680).

553509120 is an abundant number, since it is smaller than the sum of its proper divisors (1362618240).

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

553509120 is a wasteful number, since it uses less digits than its factorization.

553509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 553509120 is about 23526.7745345596. The cubic root of 553509120 is about 821.0600606961.

The spelling of 553509120 in words is "five hundred fifty-three million, five hundred nine thousand, one hundred twenty".