493762032 has 120 divisors (see below), whose sum is σ = 1423234800. Its totient is φ = 159734784.

The previous prime is 493762007. The next prime is 493762037. The reversal of 493762032 is 230267394.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493762037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755818 + ... + 756470.

It is an arithmetic number, because the mean of its divisors is an integer number (11860290).

Almost surely, 2^493762032 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 493762032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711617400).

493762032 is an abundant number, since it is smaller than the sum of its proper divisors (929472768).

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

493762032 is a wasteful number, since it uses less digits than its factorization.

493762032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 493762032 is about 22220.7567827921. The cubic root of 493762032 is about 790.3859845379.

The spelling of 493762032 in words is "four hundred ninety-three million, seven hundred sixty-two thousand, thirty-two".