553984704 has 336 divisors, whose sum is σ = 2022896640. Its totient is φ = 145566720.

The previous prime is 553984687. The next prime is 553984777. The reversal of 553984704 is 407489355.

553984704 is a `hidden beast` number, since 553 + 98 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 553984704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044089 + ... + 2044359.

Almost surely, 2^553984704 is an apocalyptic number.

553984704 is a gapful number since it is divisible by the number (54) 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 553984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011448320).

553984704 is an abundant number, since it is smaller than the sum of its proper divisors (1468911936).

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

553984704 is a wasteful number, since it uses less digits than its factorization.

553984704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 553984704 is about 23536.8796572528. The cubic root of 553984704 is about 821.2951494120.

The spelling of 553984704 in words is "five hundred fifty-three million, nine hundred eighty-four thousand, seven hundred four".