496104672 has 96 divisors (see below), whose sum is σ = 1500291072. Its totient is φ = 140603904.

The previous prime is 496104647. The next prime is 496104701. The reversal of 496104672 is 276401694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×496104672² = 492239691160455168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 496104672.

It is a congruent number.

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, 82438 + ... + 88250.

It is an arithmetic number, because the mean of its divisors is an integer number (15628032).

Almost surely, 2^496104672 is an apocalyptic number.

496104672 is a gapful number since it is divisible by the number (42) 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 496104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750145536).

496104672 is an abundant number, since it is smaller than the sum of its proper divisors (1004186400).

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

496104672 is a wasteful number, since it uses less digits than its factorization.

496104672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 496104672 is about 22273.4072831258. The cubic root of 496104672 is about 791.6340008732.

The spelling of 496104672 in words is "four hundred ninety-six million, one hundred four thousand, six hundred seventy-two".