520153920 has 448 divisors, whose sum is σ = 2160910080. Its totient is φ = 116121600.

The previous prime is 520153919. The next prime is 520153973. The reversal of 520153920 is 29351025.

520153920 is a `hidden beast` number, since 520 + 1 + 53 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235310 + ... + 1235730.

It is an arithmetic number, because the mean of its divisors is an integer number (4823460).

Almost surely, 2^520153920 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 520153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080455040).

520153920 is an abundant number, since it is smaller than the sum of its proper divisors (1640756160).

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

520153920 is a wasteful number, since it uses less digits than its factorization.

520153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 520153920 is about 22806.8831715340. The cubic root of 520153920 is about 804.2244862123.

The spelling of 520153920 in words is "five hundred twenty million, one hundred fifty-three thousand, nine hundred twenty".