533927520 has 576 divisors, whose sum is σ = 2264371200. Its totient is φ = 114250752.

The previous prime is 533927509. The next prime is 533927533. The reversal of 533927520 is 25729335.

It is a super-2 number, since 2×533927520² = 570157193226700800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11360137 + ... + 11360183.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^533927520 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 533927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

533927520 is an abundant number, since it is smaller than the sum of its proper divisors (1730443680).

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

533927520 is a wasteful number, since it uses less digits than its factorization.

533927520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 533927520 is about 23106.8717051876. The cubic root of 533927520 is about 811.2613179143.

The spelling of 533927520 in words is "five hundred thirty-three million, nine hundred twenty-seven thousand, five hundred twenty".