496073160 has 320 divisors, whose sum is σ = 1881792000. Its totient is φ = 116121600.

The previous prime is 496073117. The next prime is 496073161. The reversal of 496073160 is 61370694.

496073160 is a `hidden beast` number, since 49 + 607 + 3 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (496073161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104616 + ... + 1105064.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2^496073160 is an apocalyptic number.

496073160 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 496073160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940896000).

496073160 is an abundant number, since it is smaller than the sum of its proper divisors (1385718840).

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

496073160 is a wasteful number, since it uses less digits than its factorization.

496073160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 496073160 is about 22272.6998812448. The cubic root of 496073160 is about 791.6172392902.

The spelling of 496073160 in words is "four hundred ninety-six million, seventy-three thousand, one hundred sixty".