493638912 has 108 divisors (see below), whose sum is σ = 1532858964. Its totient is φ = 151879680.

The previous prime is 493638883. The next prime is 493638913. The reversal of 493638912 is 219836394.

It is a happy number.

493638912 is a `hidden beast` number, since 4 + 9 + 3 + 638 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130507776 + 363131136 = 11424^2 + 19056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493638913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21712 + ... + 38192.

Almost surely, 2^493638912 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 493638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766429482).

493638912 is an abundant number, since it is smaller than the sum of its proper divisors (1039220052).

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

493638912 is a wasteful number, since it uses less digits than its factorization.

493638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16516 (or 16499 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 493638912 is about 22217.9862273789. The cubic root of 493638912 is about 790.3202845950.

The spelling of 493638912 in words is "four hundred ninety-three million, six hundred thirty-eight thousand, nine hundred twelve".