495992952 has 384 divisors, whose sum is σ = 1803634560. Its totient is φ = 119439360.

The previous prime is 495992941. The next prime is 495992983. The reversal of 495992952 is 259299594.

495992952 is a `hidden beast` number, since 49 + 599 + 2 + 9 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6794388 + ... + 6794460.

It is an arithmetic number, because the mean of its divisors is an integer number (4696965).

Almost surely, 2^495992952 is an apocalyptic number.

495992952 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 495992952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901817280).

495992952 is an abundant number, since it is smaller than the sum of its proper divisors (1307641608).

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

495992952 is a wasteful number, since it uses less digits than its factorization.

495992952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 495992952 is about 22270.8992184869. The cubic root of 495992952 is about 791.5745725608.

The spelling of 495992952 in words is "four hundred ninety-five million, nine hundred ninety-two thousand, nine hundred fifty-two".