505387080 has 256 divisors, whose sum is σ = 1935360000. Its totient is φ = 116017920.

The previous prime is 505387063. The next prime is 505387093. The reversal of 505387080 is 80783505.

It is a happy number.

505387080 is a `hidden beast` number, since 50 + 538 + 70 + 8 + 0 = 666.

It is a super-2 number, since 2×505387080² = 510832201261852800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224601 + ... + 226839.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2^505387080 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 505387080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680000).

505387080 is an abundant number, since it is smaller than the sum of its proper divisors (1429972920).

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

505387080 is a wasteful number, since it uses less digits than its factorization.

505387080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 505387080 is about 22480.8158214954. The cubic root of 505387080 is about 796.5408351144.

The spelling of 505387080 in words is "five hundred five million, three hundred eighty-seven thousand, eighty".