496313136 has 320 divisors, whose sum is σ = 1714176000. Its totient is φ = 135717120.

The previous prime is 496313119. The next prime is 496313137. The reversal of 496313136 is 631313694.

496313136 is a `hidden beast` number, since 4 + 9 + 631 + 3 + 13 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 496313136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496313137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2076505 + ... + 2076743.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^496313136 is an apocalyptic number.

496313136 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 496313136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

496313136 is an abundant number, since it is smaller than the sum of its proper divisors (1217862864).

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

496313136 is a wasteful number, since it uses less digits than its factorization.

496313136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 496313136 is about 22278.0864528352. The cubic root of 496313136 is about 791.7448673160.

The spelling of 496313136 in words is "four hundred ninety-six million, three hundred thirteen thousand, one hundred thirty-six".