493256794800 has 1440 divisors, whose sum is σ = 2126322192384. Its totient is φ = 96450816000.

The previous prime is 493256794783. The next prime is 493256794817. The reversal of 493256794800 is 8497652394.

It is an interprime number because it is at equal distance from previous prime (493256794783) and next prime (493256794817).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1056224167 + ... + 1056224633.

Almost surely, 2^493256794800 is an apocalyptic number.

493256794800 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 493256794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063161096192).

493256794800 is an abundant number, since it is smaller than the sum of its proper divisors (1633065397584).

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

493256794800 is a wasteful number, since it uses less digits than its factorization.

493256794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 493256794800 in words is "four hundred ninety-three billion, two hundred fifty-six million, seven hundred ninety-four thousand, eight hundred".