505377792 has 154 divisors (see below), whose sum is σ = 1516937538. Its totient is φ = 168210432.

The previous prime is 505377739. The next prime is 505377833. The reversal of 505377792 is 297773505.

It is a happy number.

505377792 is a `hidden beast` number, since 505 + 3 + 77 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504631296 + 746496 = 22464^2 + 864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746158 + ... + 746834.

Almost surely, 2^505377792 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 505377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758468769).

505377792 is an abundant number, since it is smaller than the sum of its proper divisors (1011559746).

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

505377792 is an frugal number, since it uses more digits than its factorization.

505377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 505377792 is about 22480.6092444133. The cubic root of 505377792 is about 796.5359554773.

The spelling of 505377792 in words is "five hundred five million, three hundred seventy-seven thousand, seven hundred ninety-two".