496496952 has 160 divisors (see below), whose sum is σ = 1658764800. Its totient is φ = 135660096.

The previous prime is 496496941. The next prime is 496496981. The reversal of 496496952 is 259694694.

It is a happy number.

496496952 is a `hidden beast` number, since 496 + 49 + 69 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101949 + ... + 106707.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2^496496952 is an apocalyptic number.

496496952 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 496496952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829382400).

496496952 is an abundant number, since it is smaller than the sum of its proper divisors (1162267848).

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

496496952 is a wasteful number, since it uses less digits than its factorization.

496496952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4794 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 496496952 is about 22282.2115598968. The cubic root of 496496952 is about 791.8425995746.

The spelling of 496496952 in words is "four hundred ninety-six million, four hundred ninety-six thousand, nine hundred fifty-two".