493517344320 has 2240 divisors, whose sum is σ = 2462528065536. Its totient is φ = 90435502080.

The previous prime is 493517344247. The next prime is 493517344337. The reversal of 493517344320 is 23443715394.

493517344320 is a `hidden beast` number, since 4 + 9 + 35 + 173 + 443 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 319 ways as a sum of consecutive naturals, for example, 596755747 + ... + 596756573.

Almost surely, 2^493517344320 is an apocalyptic number.

493517344320 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 493517344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231264032768).

493517344320 is an abundant number, since it is smaller than the sum of its proper divisors (1969010721216).

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

493517344320 is a wasteful number, since it uses less digits than its factorization.

493517344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 493517344320 in words is "four hundred ninety-three billion, five hundred seventeen million, three hundred forty-four thousand, three hundred twenty".