733504 has 28 divisors (see below), whose sum is σ = 1484884. Its totient is φ = 359424.

The previous prime is 733489. The next prime is 733511. The reversal of 733504 is 405337.

733504 = 62² + 63² + ... + 134².

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 419904 = 560^2 + 648^2 .

It is a congruent number.

It is an unprimeable number.

733504 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, 4594 + ... + 4750.

2⁷³³⁵⁰⁴ 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 733504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742442).

733504 is an abundant number, since it is smaller than the sum of its proper divisors (751380).

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

733504 is a wasteful number, since it uses less digits than its factorization.

733504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 733504 is about 856.4484806455. The cubic root of 733504 is about 90.1849693819.

The spelling of 733504 in words is "seven hundred thirty-three thousand, five hundred four".