496271820 has 144 divisors (see below), whose sum is σ = 1617616224. Its totient is φ = 113203200.

The previous prime is 496271791. The next prime is 496271863. The reversal of 496271820 is 28172694.

It is a super-2 number, since 2×496271820² = 492571438652224800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 121410 + ... + 125430.

It is an arithmetic number, because the mean of its divisors is an integer number (11233446).

Almost surely, 2^496271820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496271820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808808112).

496271820 is an abundant number, since it is smaller than the sum of its proper divisors (1121344404).

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

496271820 is a wasteful number, since it uses less digits than its factorization.

496271820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 496271820 is about 22277.1591546139. The cubic root of 496271820 is about 791.7228968863.

The spelling of 496271820 in words is "four hundred ninety-six million, two hundred seventy-one thousand, eight hundred twenty".