533536416 has 192 divisors, whose sum is σ = 1872460800. Its totient is φ = 144384768.

The previous prime is 533536391. The next prime is 533536417. The reversal of 533536416 is 614635335.

533536416 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 3 + 641 + 6 = 666.

It is a super-2 number, since 2×533536416² = 569322214396250112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (533536417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112591 + ... + 117233.

It is an arithmetic number, because the mean of its divisors is an integer number (9752400).

Almost surely, 2^533536416 is an apocalyptic number.

533536416 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 533536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936230400).

533536416 is an abundant number, since it is smaller than the sum of its proper divisors (1338924384).

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

533536416 is a wasteful number, since it uses less digits than its factorization.

533536416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4674 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 533536416 is about 23098.4072178148. The cubic root of 533536416 is about 811.0631854977.

The spelling of 533536416 in words is "five hundred thirty-three million, five hundred thirty-six thousand, four hundred sixteen".