493412832 has 108 divisors (see below), whose sum is σ = 1542406320. Its totient is φ = 149508480.

The previous prime is 493412809. The next prime is 493412837. The reversal of 493412832 is 238214394.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (493412837) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27769 + ... + 41927.

It is an arithmetic number, because the mean of its divisors is an integer number (14281540).

Almost surely, 2^493412832 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 493412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771203160).

493412832 is an abundant number, since it is smaller than the sum of its proper divisors (1048993488).

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

493412832 is a wasteful number, since it uses less digits than its factorization.

493412832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14175 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 493412832 is about 22212.8978748834. The cubic root of 493412832 is about 790.1996141417.

It can be divided in two parts, 4934 and 12832, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 493412832 in words is "four hundred ninety-three million, four hundred twelve thousand, eight hundred thirty-two".