493782912 has 128 divisors (see below), whose sum is σ = 1665619200. Its totient is φ = 141073920.

The previous prime is 493782907. The next prime is 493782937. The reversal of 493782912 is 219287394.

493782912 is a `hidden beast` number, since 493 + 78 + 2 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13987 + ... + 34397.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2^493782912 is an apocalyptic number.

493782912 is a gapful number since it is divisible by the number (42) 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 493782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

493782912 is an abundant number, since it is smaller than the sum of its proper divisors (1171836288).

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

493782912 is a wasteful number, since it uses less digits than its factorization.

493782912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20441 (or 20423 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 493782912 is about 22221.2266088081. The cubic root of 493782912 is about 790.3971255503.

The spelling of 493782912 in words is "four hundred ninety-three million, seven hundred eighty-two thousand, nine hundred twelve".