738400 has 72 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 268800.

The previous prime is 738391. The next prime is 738401. The reversal of 738400 is 4837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10365 + ... + 10435.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁷³⁸⁴⁰⁰ 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 738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

738400 is an abundant number, since it is smaller than the sum of its proper divisors (1230224).

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

738400 is a wasteful number, since it uses less digits than its factorization.

738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 738400 is about 859.3020423576. The cubic root of 738400 is about 90.3851804355.

The spelling of 738400 in words is "seven hundred thirty-eight thousand, four hundred".