496244683440 has 640 divisors, whose sum is σ = 1926133862400. Its totient is φ = 116395868160.

The previous prime is 496244683439. The next prime is 496244683457. The reversal of 496244683440 is 44386442694.

It is a happy number.

496244683440 is a `hidden beast` number, since 4 + 9 + 624 + 4 + 6 + 8 + 3 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×496244683440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99385584 + ... + 99390576.

It is an arithmetic number, because the mean of its divisors is an integer number (3009584160).

Almost surely, 2^496244683440 is an apocalyptic number.

496244683440 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 496244683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963066931200).

496244683440 is an abundant number, since it is smaller than the sum of its proper divisors (1429889178960).

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

496244683440 is a wasteful number, since it uses less digits than its factorization.

496244683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 496244683440 in words is "four hundred ninety-six billion, two hundred forty-four million, six hundred eighty-three thousand, four hundred forty".