505216920 has 192 divisors, whose sum is σ = 1691595360. Its totient is φ = 119992320.

The previous prime is 505216913. The next prime is 505216927. The reversal of 505216920 is 29612505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505216913) and next prime (505216927).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505216927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1498992 + ... + 1499328.

Almost surely, 2^505216920 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 505216920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845797680).

505216920 is an abundant number, since it is smaller than the sum of its proper divisors (1186378440).

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

505216920 is a wasteful number, since it uses less digits than its factorization.

505216920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 505216920 is about 22477.0309427202. The cubic root of 505216920 is about 796.4514286585.

The spelling of 505216920 in words is "five hundred five million, two hundred sixteen thousand, nine hundred twenty".