496132992 has 128 divisors (see below), whose sum is σ = 1481652000. Its totient is φ = 163418112.

The previous prime is 496132991. The next prime is 496133009. The reversal of 496132992 is 299231694.

It is a happy number.

496132992 is a `hidden beast` number, since 4 + 9 + 613 + 29 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×496132992² = 492295891501744128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496132991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306778 + ... + 308390.

Almost surely, 2^496132992 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 496132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740826000).

496132992 is an abundant number, since it is smaller than the sum of its proper divisors (985519008).

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

496132992 is a wasteful number, since it uses less digits than its factorization.

496132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1707 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 496132992 is about 22274.0430097457. The cubic root of 496132992 is about 791.6490639903.

The spelling of 496132992 in words is "four hundred ninety-six million, one hundred thirty-two thousand, nine hundred ninety-two".