493912320 has 216 divisors, whose sum is σ = 1735503168. Its totient is φ = 119623680.

The previous prime is 493912301. The next prime is 493912337. The reversal of 493912320 is 23219394.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464109 + ... + 465171.

Almost surely, 2^493912320 is an apocalyptic number.

493912320 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 493912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867751584).

493912320 is an abundant number, since it is smaller than the sum of its proper divisors (1241590848).

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

493912320 is a wasteful number, since it uses less digits than its factorization.

493912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 493912320 is about 22224.1382285118. The cubic root of 493912320 is about 790.4661672112.

The spelling of 493912320 in words is "four hundred ninety-three million, nine hundred twelve thousand, three hundred twenty".