495975956 has 48 divisors (see below), whose sum is σ = 1043159040. Its totient is φ = 201732960.

The previous prime is 495975937. The next prime is 495975989. The reversal of 495975956 is 659579594.

It is a super-2 number, since 2×495975956² = 491984297860227872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 495975895 and 495975904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81425 + ... + 87303.

It is an arithmetic number, because the mean of its divisors is an integer number (21732480).

Almost surely, 2^495975956 is an apocalyptic number.

495975956 is a gapful number since it is divisible by the number (46) 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 495975956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521579520).

495975956 is an abundant number, since it is smaller than the sum of its proper divisors (547183084).

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

495975956 is a wasteful number, since it uses less digits than its factorization.

495975956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6042 counting only the distinct ones).

The product of its digits is 15309000, while the sum is 59.

The square root of 495975956 is about 22270.5176410428. The cubic root of 495975956 is about 791.5655309302.

The spelling of 495975956 in words is "four hundred ninety-five million, nine hundred seventy-five thousand, nine hundred fifty-six".