533406384 has 280 divisors, whose sum is σ = 1821550080. Its totient is φ = 148086144.

The previous prime is 533406383. The next prime is 533406397. The reversal of 533406384 is 483604335.

533406384 is a `hidden beast` number, since 533 + 40 + 6 + 3 + 84 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (533406383) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3837387 + ... + 3837525.

It is an arithmetic number, because the mean of its divisors is an integer number (6505536).

Almost surely, 2^533406384 is an apocalyptic number.

533406384 is a gapful number since it is divisible by the number (54) 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 533406384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910775040).

533406384 is an abundant number, since it is smaller than the sum of its proper divisors (1288143696).

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

533406384 is a wasteful number, since it uses less digits than its factorization.

533406384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 533406384 is about 23095.5923067584. The cubic root of 533406384 is about 810.9972901287.

The spelling of 533406384 in words is "five hundred thirty-three million, four hundred six thousand, three hundred eighty-four".