553906080 has 384 divisors, whose sum is σ = 2387750400. Its totient is φ = 116785152.

The previous prime is 553906049. The next prime is 553906081. The reversal of 553906080 is 80609355.

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

It is not an unprimeable number, because it can be changed into a prime (553906081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392416 + ... + 393824.

It is an arithmetic number, because the mean of its divisors is an integer number (6218100).

Almost surely, 2^553906080 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 553906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193875200).

553906080 is an abundant number, since it is smaller than the sum of its proper divisors (1833844320).

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

553906080 is a wasteful number, since it uses less digits than its factorization.

553906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 553906080 is about 23535.2093680936. The cubic root of 553906080 is about 821.2562936070.

The spelling of 553906080 in words is "five hundred fifty-three million, nine hundred six thousand, eighty".