393336632 has 64 divisors (see below), whose sum is σ = 848803200. Its totient is φ = 169361280.

The previous prime is 393336631. The next prime is 393336641. The reversal of 393336632 is 236633393.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393336631) 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 15 ways as a sum of consecutive naturals, for example, 130907 + ... + 133877.

It is an arithmetic number, because the mean of its divisors is an integer number (13262550).

Almost surely, 2^393336632 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 393336632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424401600).

393336632 is an abundant number, since it is smaller than the sum of its proper divisors (455466568).

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

393336632 is a wasteful number, since it uses less digits than its factorization.

393336632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3072 counting only the distinct ones).

The product of its digits is 157464, while the sum is 38.

The square root of 393336632 is about 19832.7162032839. The cubic root of 393336632 is about 732.6920257429.

The spelling of 393336632 in words is "three hundred ninety-three million, three hundred thirty-six thousand, six hundred thirty-two".