505562772 has 96 divisors (see below), whose sum is σ = 1400079744. Its totient is φ = 139968000.

The previous prime is 505562753. The next prime is 505562789. The reversal of 505562772 is 277265505.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 505562772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171858 + ... + 174774.

It is an arithmetic number, because the mean of its divisors is an integer number (14584164).

Almost surely, 2^505562772 is an apocalyptic number.

505562772 is a gapful number since it is divisible by the number (52) 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 505562772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700039872).

505562772 is an abundant number, since it is smaller than the sum of its proper divisors (894516972).

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

505562772 is a wasteful number, since it uses less digits than its factorization.

505562772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 505562772 is about 22484.7230803495. The cubic root of 505562772 is about 796.6331271708.

The spelling of 505562772 in words is "five hundred five million, five hundred sixty-two thousand, seven hundred seventy-two".