533140920 has 384 divisors, whose sum is σ = 2023833600. Its totient is φ = 124540416.

The previous prime is 533140879. The next prime is 533140957. The reversal of 533140920 is 29041335.

533140920 is a `hidden beast` number, since 533 + 1 + 40 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4197897 + ... + 4198023.

It is an arithmetic number, because the mean of its divisors is an integer number (5270400).

Almost surely, 2^533140920 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 533140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011916800).

533140920 is an abundant number, since it is smaller than the sum of its proper divisors (1490692680).

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

533140920 is a wasteful number, since it uses less digits than its factorization.

533140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 533140920 is about 23089.8445209144. The cubic root of 533140920 is about 810.8627296159.

The spelling of 533140920 in words is "five hundred thirty-three million, one hundred forty thousand, nine hundred twenty".