553625280 has 560 divisors, whose sum is σ = 2230550784. Its totient is φ = 129392640.

The previous prime is 553625273. The next prime is 553625299. The reversal of 553625280 is 82526355.

It is a happy number.

553625280 is a `hidden beast` number, since 5 + 5 + 3 + 625 + 28 + 0 = 666.

553625280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10445734 + ... + 10445786.

Almost surely, 2^553625280 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 553625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115275392).

553625280 is an abundant number, since it is smaller than the sum of its proper divisors (1676925504).

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

553625280 is a wasteful number, since it uses less digits than its factorization.

553625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 553625280 is about 23529.2430817483. The cubic root of 553625280 is about 821.1174928517.

The spelling of 553625280 in words is "five hundred fifty-three million, six hundred twenty-five thousand, two hundred eighty".