496404288 has 168 divisors, whose sum is σ = 1503334560. Its totient is φ = 162362880.

The previous prime is 496404287. The next prime is 496404289. The reversal of 496404288 is 882404694.

496404288 is a `hidden beast` number, since 496 + 40 + 42 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (496404287) and next prime (496404289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496404287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 917298 + ... + 917838.

It is an arithmetic number, because the mean of its divisors is an integer number (8948420).

Almost surely, 2^496404288 is an apocalyptic number.

496404288 is a gapful number since it is divisible by the number (48) 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 496404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751667280).

496404288 is an abundant number, since it is smaller than the sum of its proper divisors (1006930272).

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

496404288 is an equidigital number, since it uses as much as digits as its factorization.

496404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 496404288 is about 22280.1321360534. The cubic root of 496404288 is about 791.7933345069.

The spelling of 496404288 in words is "four hundred ninety-six million, four hundred four thousand, two hundred eighty-eight".