493822560 has 384 divisors, whose sum is σ = 2006581248. Its totient is φ = 99072000.

The previous prime is 493822513. The next prime is 493822583. The reversal of 493822560 is 65228394.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145545 + ... + 1145975.

It is an arithmetic number, because the mean of its divisors is an integer number (5225472).

Almost surely, 2^493822560 is an apocalyptic number.

493822560 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 493822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003290624).

493822560 is an abundant number, since it is smaller than the sum of its proper divisors (1512758688).

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

493822560 is a wasteful number, since it uses less digits than its factorization.

493822560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 493822560 is about 22222.1187108700. The cubic root of 493822560 is about 790.4182798036.

The spelling of 493822560 in words is "four hundred ninety-three million, eight hundred twenty-two thousand, five hundred sixty".