496488720 has 320 divisors, whose sum is σ = 1919877120. Its totient is φ = 103348224.

The previous prime is 496488719. The next prime is 496488731. The reversal of 496488720 is 27884694.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 496488720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2773591 + ... + 2773769.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^496488720 is an apocalyptic number.

496488720 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 496488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

496488720 is an abundant number, since it is smaller than the sum of its proper divisors (1423388400).

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

496488720 is a wasteful number, since it uses less digits than its factorization.

496488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 496488720 is about 22282.0268377901. The cubic root of 496488720 is about 791.8382232575.

The spelling of 496488720 in words is "four hundred ninety-six million, four hundred eighty-eight thousand, seven hundred twenty".