494756359200 has 432 divisors, whose sum is σ = 1818575478720. Its totient is φ = 131255147520.

The previous prime is 494756359187. The next prime is 494756359213. The reversal of 494756359200 is 2953657494.

494756359200 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 563 + 59 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (494756359187) and next prime (494756359213).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 38290341 + ... + 38303259.

It is an arithmetic number, because the mean of its divisors is an integer number (4209665460).

Almost surely, 2^494756359200 is an apocalyptic number.

494756359200 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 494756359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909287739360).

494756359200 is an abundant number, since it is smaller than the sum of its proper divisors (1323819119520).

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

494756359200 is a wasteful number, since it uses less digits than its factorization.

494756359200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13151 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 494756359200 in words is "four hundred ninety-four billion, seven hundred fifty-six million, three hundred fifty-nine thousand, two hundred".