493492320 has 288 divisors, whose sum is σ = 1878720480. Its totient is φ = 117227520.

The previous prime is 493492313. The next prime is 493492331. The reversal of 493492320 is 23294394.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464590 + ... + 465650.

It is an arithmetic number, because the mean of its divisors is an integer number (6523335).

Almost surely, 2^493492320 is an apocalyptic number.

493492320 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 493492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939360240).

493492320 is an abundant number, since it is smaller than the sum of its proper divisors (1385228160).

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

493492320 is a wasteful number, since it uses less digits than its factorization.

493492320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 493492320 is about 22214.6870335821. The cubic root of 493492320 is about 790.2420451516.

The spelling of 493492320 in words is "four hundred ninety-three million, four hundred ninety-two thousand, three hundred twenty".