733249920 has 256 divisors, whose sum is σ = 2606385600. Its totient is φ = 174096384.

The previous prime is 733249903. The next prime is 733249939. The reversal of 733249920 is 29942337.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 723334 + ... + 724346.

Almost surely, 2^733249920 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 733249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303192800).

733249920 is an abundant number, since it is smaller than the sum of its proper divisors (1873135680).

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

733249920 is a wasteful number, since it uses less digits than its factorization.

733249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 733249920 is about 27078.5878509201. The cubic root of 733249920 is about 901.7455505864.

The spelling of 733249920 in words is "seven hundred thirty-three million, two hundred forty-nine thousand, nine hundred twenty".