738496 has 28 divisors (see below), whose sum is σ = 1600200. Its totient is φ = 335360.

The previous prime is 738487. The next prime is 738499. The reversal of 738496 is 694837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738499) by changing a digit.

738496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 1228.

It is an arithmetic number, because the mean of its divisors is an integer number (57150).

2⁷³⁸⁴⁹⁶ 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 738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800100).

738496 is an abundant number, since it is smaller than the sum of its proper divisors (861704).

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

738496 is a wasteful number, since it uses less digits than its factorization.

738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 738496 is about 859.3578998299. The cubic root of 738496 is about 90.3890972833.

It can be divided in two parts, 7 and 38496, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 738496 in words is "seven hundred thirty-eight thousand, four hundred ninety-six".