496519680 has 160 divisors (see below), whose sum is σ = 1681124544. Its totient is φ = 124583936.

The previous prime is 496519669. The next prime is 496519721. The reversal of 496519680 is 86915694.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128659 + ... + 132461.

Almost surely, 2^496519680 is an apocalyptic number.

496519680 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 496519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840562272).

496519680 is an abundant number, since it is smaller than the sum of its proper divisors (1184604864).

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

496519680 is a wasteful number, since it uses less digits than its factorization.

496519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 496519680 is about 22282.7215572964. The cubic root of 496519680 is about 791.8546820416.

The spelling of 496519680 in words is "four hundred ninety-six million, five hundred nineteen thousand, six hundred eighty".