738304 has 44 divisors (see below), whose sum is σ = 1703104. Its totient is φ = 313344.

The previous prime is 738301. The next prime is 738313. The reversal of 738304 is 403837.

It is a plaindrome in base 9.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 738304.

It is not an unprimeable number, because it can be changed into a prime (738301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7117 + ... + 7219.

2⁷³⁸³⁰⁴ 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 738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851552).

738304 is an abundant number, since it is smaller than the sum of its proper divisors (964800).

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

738304 is a wasteful number, since it uses less digits than its factorization.

738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 738304 is about 859.2461812542. The cubic root of 738304 is about 90.3812632481.

The spelling of 738304 in words is "seven hundred thirty-eight thousand, three hundred four".