504271920 has 80 divisors (see below), whose sum is σ = 1565471232. Its totient is φ = 134280960.

The previous prime is 504271919. The next prime is 504271921. The reversal of 504271920 is 29172405.

It is an interprime number because it is at equal distance from previous prime (504271919) and next prime (504271921).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (504271921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268585 + ... + 270455.

Almost surely, 2^504271920 is an apocalyptic number.

It is an amenable number.

504271920 is an abundant number, since it is smaller than the sum of its proper divisors (1061199312).

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

504271920 is a wasteful number, since it uses less digits than its factorization.

504271920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 504271920 is about 22455.9996437478. Note that the first 3 decimals coincide. The cubic root of 504271920 is about 795.9545355884.

The spelling of 504271920 in words is "five hundred four million, two hundred seventy-one thousand, nine hundred twenty".