493364044800 has 1584 divisors, whose sum is σ = 2114671527360. Its totient is φ = 112243507200.

The previous prime is 493364044769. The next prime is 493364044807. The reversal of 493364044800 is 8440463394.

It is a happy number.

493364044800 is a `hidden beast` number, since 493 + 3 + 6 + 40 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is not an unprimeable number, because it can be changed into a prime (493364044807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1421798227 + ... + 1421798573.

Almost surely, 2^493364044800 is an apocalyptic number.

493364044800 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 493364044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057335763680).

493364044800 is an abundant number, since it is smaller than the sum of its proper divisors (1621307482560).

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

493364044800 is a wasteful number, since it uses less digits than its factorization.

493364044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 493364044800 in words is "four hundred ninety-three billion, three hundred sixty-four million, forty-four thousand, eight hundred".