736484 has 24 divisors (see below), whose sum is σ = 1525440. Its totient is φ = 304416.

The previous prime is 736471. The next prime is 736511. The reversal of 736484 is 484637.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 736484.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736484.

It is an unprimeable number.

736484 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (63560).

2⁷³⁶⁴⁸⁴ 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 736484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762720).

736484 is an abundant number, since it is smaller than the sum of its proper divisors (788956).

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

736484 is a wasteful number, since it uses less digits than its factorization.

736484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

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

The square root of 736484 is about 858.1864599258. The cubic root of 736484 is about 90.3069355775.

The spelling of 736484 in words is "seven hundred thirty-six thousand, four hundred eighty-four".