533788320 has 192 divisors, whose sum is σ = 1827391104. Its totient is φ = 130191360.

The previous prime is 533788313. The next prime is 533788327. The reversal of 533788320 is 23887335.

It is an interprime number because it is at equal distance from previous prime (533788313) and next prime (533788327).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (533788327) 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, 817114 + ... + 817766.

It is an arithmetic number, because the mean of its divisors is an integer number (9517662).

Almost surely, 2^533788320 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 533788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913695552).

533788320 is an abundant number, since it is smaller than the sum of its proper divisors (1293602784).

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

533788320 is a wasteful number, since it uses less digits than its factorization.

533788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 533788320 is about 23103.8594178548. The cubic root of 533788320 is about 811.1908105974.

The spelling of 533788320 in words is "five hundred thirty-three million, seven hundred eighty-eight thousand, three hundred twenty".