533804544 has 480 divisors, whose sum is σ = 2025703680. Its totient is φ = 131383296.

The previous prime is 533804519. The next prime is 533804549. The reversal of 533804544 is 445408335.

533804544 is a `hidden beast` number, since 5 + 33 + 80 + 4 + 544 = 666.

It is a super-3 number, since 3×533804544³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 533804499 and 533804508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533804549) 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 47 ways as a sum of consecutive naturals, for example, 7967199 + ... + 7967265.

It is an arithmetic number, because the mean of its divisors is an integer number (4220216).

Almost surely, 2^533804544 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 533804544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012851840).

533804544 is an abundant number, since it is smaller than the sum of its proper divisors (1491899136).

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

533804544 is a wasteful number, since it uses less digits than its factorization.

533804544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 533804544 is about 23104.2105253566. The cubic root of 533804544 is about 811.1990289777.

The spelling of 533804544 in words is "five hundred thirty-three million, eight hundred four thousand, five hundred forty-four".