496604160 has 264 divisors, whose sum is σ = 1855318920. Its totient is φ = 122093568.

The previous prime is 496604137. The next prime is 496604167. The reversal of 496604160 is 61406694.

496604160 is a `hidden beast` number, since 49 + 6 + 604 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 483296256 = 3648^2 + 21984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496604167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 598626 + ... + 599454.

Almost surely, 2^496604160 is an apocalyptic number.

496604160 is a gapful number since it is divisible by the number (40) 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 496604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927659460).

496604160 is an abundant number, since it is smaller than the sum of its proper divisors (1358714760).

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

496604160 is a wasteful number, since it uses less digits than its factorization.

496604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 496604160 is about 22284.6171158492. The cubic root of 496604160 is about 791.8995893518.

The spelling of 496604160 in words is "four hundred ninety-six million, six hundred four thousand, one hundred sixty".