520093200 has 360 divisors, whose sum is σ = 1923814368. Its totient is φ = 119040000.

The previous prime is 520093193. The next prime is 520093219. The reversal of 520093200 is 2390025.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12685180 + ... + 12685220.

Almost surely, 2^520093200 is an apocalyptic number.

520093200 is a gapful number since it is divisible by the number (50) 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 520093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961907184).

520093200 is an abundant number, since it is smaller than the sum of its proper divisors (1403721168).

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

520093200 is a wasteful number, since it uses less digits than its factorization.

520093200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 520093200 is about 22805.5519556094. The cubic root of 520093200 is about 804.1931913659.

The spelling of 520093200 in words is "five hundred twenty million, ninety-three thousand, two hundred".