493042230720 has 1680 divisors, whose sum is σ = 2063848092768. Its totient is φ = 110998978560.

The previous prime is 493042230719. The next prime is 493042230739. The reversal of 493042230720 is 27032240394.

It is a happy number.

493042230720 is a `hidden beast` number, since 4 + 9 + 304 + 22 + 307 + 20 = 666.

493042230720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5940267799 + ... + 5940267881.

Almost surely, 2^493042230720 is an apocalyptic number.

493042230720 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 493042230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031924046384).

493042230720 is an abundant number, since it is smaller than the sum of its proper divisors (1570805862048).

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

493042230720 is a wasteful number, since it uses less digits than its factorization.

493042230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 493042230720 in words is "four hundred ninety-three billion, forty-two million, two hundred thirty thousand, seven hundred twenty".