505315800 has 384 divisors, whose sum is σ = 1949875200. Its totient is φ = 119232000.

The previous prime is 505315799. The next prime is 505315817. The reversal of 505315800 is 8513505.

505315800 is a `hidden beast` number, since 50 + 5 + 31 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2791710 + ... + 2791890.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^505315800 is an apocalyptic number.

505315800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

505315800 is an abundant number, since it is smaller than the sum of its proper divisors (1444559400).

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

505315800 is a wasteful number, since it uses less digits than its factorization.

505315800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 505315800 is about 22479.2304138732. The cubic root of 505315800 is about 796.5033852056.

The spelling of 505315800 in words is "five hundred five million, three hundred fifteen thousand, eight hundred".