733408 has 48 divisors (see below), whose sum is σ = 1629936. Its totient is φ = 322560.

The previous prime is 733399. The next prime is 733409. The reversal of 733408 is 804337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733409) by changing a digit.

733408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17035 + ... + 17077.

It is an arithmetic number, because the mean of its divisors is an integer number (33957).

2⁷³³⁴⁰⁸ 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 733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814968).

733408 is an abundant number, since it is smaller than the sum of its proper divisors (896528).

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

733408 is a wasteful number, since it uses less digits than its factorization.

733408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 733408 is about 856.3924334089. The cubic root of 733408 is about 90.1810347818.

It can be divided in two parts, 73 and 3408, that added together give a square (3481 = 59²).

The spelling of 733408 in words is "seven hundred thirty-three thousand, four hundred eight".