736448 has 28 divisors (see below), whose sum is σ = 1505712. Its totient is φ = 357120.

The previous prime is 736447. The next prime is 736469. The reversal of 736448 is 844637.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736448.

It is not an unprimeable number, because it can be changed into a prime (736441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2213 + ... + 2523.

2⁷³⁶⁴⁴⁸ 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 736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752856).

736448 is an abundant number, since it is smaller than the sum of its proper divisors (769264).

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

736448 is a wasteful number, since it uses less digits than its factorization.

736448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 736448 is about 858.1654852067. The cubic root of 736448 is about 90.3054641254.

The spelling of 736448 in words is "seven hundred thirty-six thousand, four hundred forty-eight".