496435680 has 288 divisors, whose sum is σ = 1905374016. Its totient is φ = 116785152.

The previous prime is 496435679. The next prime is 496435691. The reversal of 496435680 is 86534694.

496435680 is a `hidden beast` number, since 49 + 6 + 43 + 568 + 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 (45).

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 47 ways as a sum of consecutive naturals, for example, 429984 + ... + 431136.

It is an arithmetic number, because the mean of its divisors is an integer number (6615882).

Almost surely, 2^496435680 is an apocalyptic number.

496435680 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 496435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952687008).

496435680 is an abundant number, since it is smaller than the sum of its proper divisors (1408938336).

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

496435680 is a wasteful number, since it uses less digits than its factorization.

496435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 496435680 is about 22280.8366090683. The cubic root of 496435680 is about 791.8100248357.

The spelling of 496435680 in words is "four hundred ninety-six million, four hundred thirty-five thousand, six hundred eighty".