553978656 has 288 divisors, whose sum is σ = 2032410240. Its totient is φ = 143700480.

The previous prime is 553978651. The next prime is 553978669. The reversal of 553978656 is 656879355.

553978656 is a `hidden beast` number, since 553 + 9 + 7 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (553978651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731430 + ... + 732186.

It is an arithmetic number, because the mean of its divisors is an integer number (7056980).

Almost surely, 2^553978656 is an apocalyptic number.

553978656 is a gapful number since it is divisible by the number (56) 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 553978656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016205120).

553978656 is an abundant number, since it is smaller than the sum of its proper divisors (1478431584).

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

553978656 is a wasteful number, since it uses less digits than its factorization.

553978656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 553978656 is about 23536.7511776796. The cubic root of 553978656 is about 821.2921606345.

The spelling of 553978656 in words is "five hundred fifty-three million, nine hundred seventy-eight thousand, six hundred fifty-six".