733224960 has 560 divisors, whose sum is σ = 2997302616. Its totient is φ = 169869312.

The previous prime is 733224929. The next prime is 733224979. The reversal of 733224960 is 69422337.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 557715456 + 175509504 = 23616^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43130872 + ... + 43130888.

Almost surely, 2^733224960 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 733224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498651308).

733224960 is an abundant number, since it is smaller than the sum of its proper divisors (2264077656).

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

733224960 is a wasteful number, since it uses less digits than its factorization.

733224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 733224960 is about 27078.1269662434. The cubic root of 733224960 is about 901.7353185933.

The spelling of 733224960 in words is "seven hundred thirty-three million, two hundred twenty-four thousand, nine hundred sixty".