505253988 has 72 divisors (see below), whose sum is σ = 1322182680. Its totient is φ = 162570240.

The previous prime is 505253971. The next prime is 505254007. The reversal of 505253988 is 889352505.

505253988 is a `hidden beast` number, since 505 + 2 + 53 + 98 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 493639524 = 3408^2 + 22218^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 141408 + ... + 144936.

Almost surely, 2^505253988 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 505253988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661091340).

505253988 is an abundant number, since it is smaller than the sum of its proper divisors (816928692).

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

505253988 is a wasteful number, since it uses less digits than its factorization.

505253988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 505253988 is about 22477.8555026942. The cubic root of 505253988 is about 796.4709068525.

The spelling of 505253988 in words is "five hundred five million, two hundred fifty-three thousand, nine hundred eighty-eight".