505313892 has 72 divisors (see below), whose sum is σ = 1349056800. Its totient is φ = 159038208.

The previous prime is 505313891. The next prime is 505313903. The reversal of 505313892 is 298313505.

505313892 is a `hidden beast` number, since 5 + 0 + 531 + 38 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505313891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236284 + ... + 238412.

It is an arithmetic number, because the mean of its divisors is an integer number (18736900).

Almost surely, 2^505313892 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 505313892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674528400).

505313892 is an abundant number, since it is smaller than the sum of its proper divisors (843742908).

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

505313892 is a wasteful number, since it uses less digits than its factorization.

505313892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 505313892 is about 22479.1879746578. The cubic root of 505313892 is about 796.5023827101.

The spelling of 505313892 in words is "five hundred five million, three hundred thirteen thousand, eight hundred ninety-two".