496844712 has 384 divisors, whose sum is σ = 1815609600. Its totient is φ = 124540416.

The previous prime is 496844707. The next prime is 496844749. The reversal of 496844712 is 217448694.

It is a nude number because it is divisible by every one of its digits.

496844712 is a modest number, since divided by 44712 gives 4968 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3164538 + ... + 3164694.

It is an arithmetic number, because the mean of its divisors is an integer number (4728150).

Almost surely, 2^496844712 is an apocalyptic number.

496844712 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 496844712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907804800).

496844712 is an abundant number, since it is smaller than the sum of its proper divisors (1318764888).

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

496844712 is a wasteful number, since it uses less digits than its factorization.

496844712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 496844712 is about 22290.0137281250. The cubic root of 496844712 is about 792.0274324750.

It can be divided in two parts, 4968 and 44712, that multiplied together give a square (222129216 = 14904²).

The spelling of 496844712 in words is "four hundred ninety-six million, eight hundred forty-four thousand, seven hundred twelve".