495579252 has 96 divisors (see below), whose sum is σ = 1387008000. Its totient is φ = 134652672.

The previous prime is 495579251. The next prime is 495579269. The reversal of 495579252 is 252975594.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495579251) 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, 383824 + ... + 385112.

It is an arithmetic number, because the mean of its divisors is an integer number (14448000).

Almost surely, 2^495579252 is an apocalyptic number.

495579252 is a gapful number since it is divisible by the number (42) 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 495579252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693504000).

495579252 is an abundant number, since it is smaller than the sum of its proper divisors (891428748).

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

495579252 is a wasteful number, since it uses less digits than its factorization.

495579252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 495579252 is about 22261.6093757841. The cubic root of 495579252 is about 791.3544313345.

The spelling of 495579252 in words is "four hundred ninety-five million, five hundred seventy-nine thousand, two hundred fifty-two".