496215720 has 896 divisors, whose sum is σ = 2379767040. Its totient is φ = 89579520.

The previous prime is 496215719. The next prime is 496215721. The reversal of 496215720 is 27512694.

496215720 is a `hidden beast` number, since 4 + 9 + 621 + 5 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (496215719) and next prime (496215721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (496215721) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29189152 + ... + 29189168.

It is an arithmetic number, because the mean of its divisors is an integer number (2655990).

Almost surely, 2^496215720 is an apocalyptic number.

496215720 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 496215720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189883520).

496215720 is an abundant number, since it is smaller than the sum of its proper divisors (1883551320).

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

496215720 is a wasteful number, since it uses less digits than its factorization.

496215720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 496215720 is about 22275.8999818189. The cubic root of 496215720 is about 791.6930628810.

The spelling of 496215720 in words is "four hundred ninety-six million, two hundred fifteen thousand, seven hundred twenty".