496448880 has 160 divisors (see below), whose sum is σ = 1619896320. Its totient is φ = 125598720.

The previous prime is 496448879. The next prime is 496448881. The reversal of 496448880 is 88844694.

It is an interprime number because it is at equal distance from previous prime (496448879) and next prime (496448881).

It is a super-2 number, since 2×496448880² = 492922980906508800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496448881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393691 + ... + 394949.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^496448880 is an apocalyptic number.

496448880 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 496448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

496448880 is an abundant number, since it is smaller than the sum of its proper divisors (1123447440).

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

496448880 is a wasteful number, since it uses less digits than its factorization.

496448880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 496448880 is about 22281.1328257789. The cubic root of 496448880 is about 791.8170427302.

The spelling of 496448880 in words is "four hundred ninety-six million, four hundred forty-eight thousand, eight hundred eighty".