496782720 has 480 divisors, whose sum is σ = 2083823280. Its totient is φ = 110481408.

The previous prime is 496782707. The next prime is 496782743. The reversal of 496782720 is 27287694.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 13426542 + ... + 13426578.

Almost surely, 2^496782720 is an apocalyptic number.

496782720 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 496782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041911640).

496782720 is an abundant number, since it is smaller than the sum of its proper divisors (1587040560).

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

496782720 is an equidigital number, since it uses as much as digits as its factorization.

496782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 496782720 is about 22288.6231068678. The cubic root of 496782720 is about 791.9944903198.

The spelling of 496782720 in words is "four hundred ninety-six million, seven hundred eighty-two thousand, seven hundred twenty".