505632972 has 96 divisors (see below), whose sum is σ = 1381931712. Its totient is φ = 142442496.

The previous prime is 505632923. The next prime is 505632977. The reversal of 505632972 is 279236505.

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 505632972.

It is not an unprimeable number, because it can be changed into a prime (505632977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95548 + ... + 100700.

It is an arithmetic number, because the mean of its divisors is an integer number (14395122).

Almost surely, 2^505632972 is an apocalyptic number.

505632972 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 505632972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690965856).

505632972 is an abundant number, since it is smaller than the sum of its proper divisors (876298740).

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

505632972 is a wasteful number, since it uses less digits than its factorization.

505632972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 505632972 is about 22486.2840860823. The cubic root of 505632972 is about 796.6699976713.

It can be divided in two parts, 50563 and 2972, that added together give a palindrome (53535).

The spelling of 505632972 in words is "five hundred five million, six hundred thirty-two thousand, nine hundred seventy-two".