553964544 has 264 divisors, whose sum is σ = 1893851648. Its totient is φ = 152616960.

The previous prime is 553964531. The next prime is 553964557. The reversal of 553964544 is 445469355.

553964544 is a `hidden beast` number, since 5 + 539 + 64 + 54 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (553964531) and next prime (553964557).

Its product of digits (1296000) is a multiple of the sum of its prime divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 553964544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999734 + ... + 2000010.

Almost surely, 2^553964544 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 553964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946925824).

553964544 is an abundant number, since it is smaller than the sum of its proper divisors (1339887104).

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

553964544 is a wasteful number, since it uses less digits than its factorization.

553964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 320 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 553964544 is about 23536.4513892813. The cubic root of 553964544 is about 821.2851867356.

The spelling of 553964544 in words is "five hundred fifty-three million, nine hundred sixty-four thousand, five hundred forty-four".