733344480 has 288 divisors, whose sum is σ = 2774798208. Its totient is φ = 174873600.

The previous prime is 733344457. The next prime is 733344503. The reversal of 733344480 is 84443337.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (733344457) and next prime (733344503).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060935 + ... + 1061625.

It is an arithmetic number, because the mean of its divisors is an integer number (9634716).

Almost surely, 2^733344480 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 733344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387399104).

733344480 is an abundant number, since it is smaller than the sum of its proper divisors (2041453728).

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

733344480 is a wasteful number, since it uses less digits than its factorization.

733344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 733344480 is about 27080.3338236441. Note that the first 3 decimals coincide. The cubic root of 733344480 is about 901.7843119926.

The spelling of 733344480 in words is "seven hundred thirty-three million, three hundred forty-four thousand, four hundred eighty".