505368624 has 80 divisors (see below), whose sum is σ = 1342664064. Its totient is φ = 163699200.

The previous prime is 505368613. The next prime is 505368629. The reversal of 505368624 is 426863505.

It is a super-2 number, since 2×505368624² = 510794892247306752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505368629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966027 + ... + 966549.

Almost surely, 2^505368624 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 505368624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671332032).

505368624 is an abundant number, since it is smaller than the sum of its proper divisors (837295440).

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

505368624 is a wasteful number, since it uses less digits than its factorization.

505368624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 505368624 is about 22480.4053344240. The cubic root of 505368624 is about 796.5311388260.

The spelling of 505368624 in words is "five hundred five million, three hundred sixty-eight thousand, six hundred twenty-four".