493306320 has 160 divisors (see below), whose sum is σ = 1685642112. Its totient is φ = 118573056.

The previous prime is 493306309. The next prime is 493306339. The reversal of 493306320 is 23603394.

It is a super-2 number, since 2×493306320² = 486702250703884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132322 + ... + 135998.

Almost surely, 2^493306320 is an apocalyptic number.

493306320 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 493306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842821056).

493306320 is an abundant number, since it is smaller than the sum of its proper divisors (1192335792).

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

493306320 is a wasteful number, since it uses less digits than its factorization.

493306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 493306320 is about 22210.5002194908. The cubic root of 493306320 is about 790.1427504684.

The spelling of 493306320 in words is "four hundred ninety-three million, three hundred six thousand, three hundred twenty".