505627920 has 400 divisors, whose sum is σ = 2048226048. Its totient is φ = 113218560.

The previous prime is 505627919. The next prime is 505627931. The reversal of 505627920 is 29726505.

505627920 is a `hidden beast` number, since 5 + 0 + 5 + 627 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3220482 + ... + 3220638.

Almost surely, 2^505627920 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 505627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024113024).

505627920 is an abundant number, since it is smaller than the sum of its proper divisors (1542598128).

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

505627920 is a wasteful number, since it uses less digits than its factorization.

505627920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 505627920 is about 22486.1717506560. The cubic root of 505627920 is about 796.6673443698.

The spelling of 505627920 in words is "five hundred five million, six hundred twenty-seven thousand, nine hundred twenty".