505376820 has 288 divisors, whose sum is σ = 1806430080. Its totient is φ = 117573120.

The previous prime is 505376777. The next prime is 505376827. The reversal of 505376820 is 28673505.

505376820 is a `hidden beast` number, since 505 + 3 + 76 + 82 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505376827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200210 + ... + 1200630.

Almost surely, 2^505376820 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 505376820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903215040).

505376820 is an abundant number, since it is smaller than the sum of its proper divisors (1301053260).

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

505376820 is a wasteful number, since it uses less digits than its factorization.

505376820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 505376820 is about 22480.5876257717. The cubic root of 505376820 is about 796.5354448142.

The spelling of 505376820 in words is "five hundred five million, three hundred seventy-six thousand, eight hundred twenty".