496324461600 has 432 divisors, whose sum is σ = 1917265974624. Its totient is φ = 119817216000.

The previous prime is 496324461587. The next prime is 496324461623. The reversal of 496324461600 is 6164423694.

496324461600 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 24 + 4 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19074199 + ... + 19100201.

It is an arithmetic number, because the mean of its divisors is an integer number (4438115682).

Almost surely, 2^496324461600 is an apocalyptic number.

496324461600 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 496324461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958632987312).

496324461600 is an abundant number, since it is smaller than the sum of its proper divisors (1420941513024).

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

496324461600 is a wasteful number, since it uses less digits than its factorization.

496324461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26281 (or 26265 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 496324461600 in words is "four hundred ninety-six billion, three hundred twenty-four million, four hundred sixty-one thousand, six hundred".