493968384 has 528 divisors, whose sum is σ = 1907476480. Its totient is φ = 119439360.

The previous prime is 493968383. The next prime is 493968413. The reversal of 493968384 is 483869394.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4478976) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 493968384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493968383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15934449 + ... + 15934479.

Almost surely, 2^493968384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953738240).

493968384 is an abundant number, since it is smaller than the sum of its proper divisors (1413508096).

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

493968384 is a wasteful number, since it uses less digits than its factorization.

493968384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 493968384 is about 22225.3995239681. The cubic root of 493968384 is about 790.4960746912.

The spelling of 493968384 in words is "four hundred ninety-three million, nine hundred sixty-eight thousand, three hundred eighty-four".