496645344 has 288 divisors, whose sum is σ = 1675870560. Its totient is φ = 143824896.

The previous prime is 496645343. The next prime is 496645367. The reversal of 496645344 is 443546694.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 496645344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496645343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29214424 + ... + 29214440.

It is an arithmetic number, because the mean of its divisors is an integer number (5818995).

Almost surely, 2^496645344 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 496645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837935280).

496645344 is an abundant number, since it is smaller than the sum of its proper divisors (1179225216).

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

496645344 is an equidigital number, since it uses as much as digits as its factorization.

496645344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 35 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 496645344 is about 22285.5411421845. The cubic root of 496645344 is about 791.9214798189.

The spelling of 496645344 in words is "four hundred ninety-six million, six hundred forty-five thousand, three hundred forty-four".