496460160 has 288 divisors, whose sum is σ = 1995364800. Its totient is φ = 113412096.

The previous prime is 496460149. The next prime is 496460203. The reversal of 496460160 is 61064694.

496460160 is a `hidden beast` number, since 4 + 9 + 646 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 281361 + ... + 283119.

It is an arithmetic number, because the mean of its divisors is an integer number (6928350).

Almost surely, 2^496460160 is an apocalyptic number.

496460160 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 496460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997682400).

496460160 is an abundant number, since it is smaller than the sum of its proper divisors (1498904640).

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

496460160 is a wasteful number, since it uses less digits than its factorization.

496460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1776 counting only the distinct ones).

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

The square root of 496460160 is about 22281.3859533019. The cubic root of 496460160 is about 791.8230397415.

The spelling of 496460160 in words is "four hundred ninety-six million, four hundred sixty thousand, one hundred sixty".