496456800 has 288 divisors, whose sum is σ = 1912377600. Its totient is φ = 109455360.

The previous prime is 496456783. The next prime is 496456819. The reversal of 496456800 is 8654694.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486691 + ... + 487709.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^496456800 is an apocalyptic number.

496456800 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 496456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800).

496456800 is an abundant number, since it is smaller than the sum of its proper divisors (1415920800).

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

496456800 is a wasteful number, since it uses less digits than its factorization.

496456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 496456800 is about 22281.3105539149. The cubic root of 496456800 is about 791.8212534072.

The spelling of 496456800 in words is "four hundred ninety-six million, four hundred fifty-six thousand, eight hundred".