493604496 has 480 divisors, whose sum is σ = 1899878400. Its totient is φ = 119750400.

The previous prime is 493604491. The next prime is 493604519. The reversal of 493604496 is 694406394.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493604491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6952141 + ... + 6952211.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^493604496 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 493604496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

493604496 is an abundant number, since it is smaller than the sum of its proper divisors (1406273904).

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

493604496 is a wasteful number, since it uses less digits than its factorization.

493604496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 493604496 is about 22217.2117062425. The cubic root of 493604496 is about 790.3019173942.

The spelling of 493604496 in words is "four hundred ninety-three million, six hundred four thousand, four hundred ninety-six".