733825470 has 192 divisors, whose sum is σ = 2127513600. Its totient is φ = 161441280.

The previous prime is 733825427. The next prime is 733825471. The reversal of 733825470 is 74528337.

It is a super-3 number, since 3×733825470³ (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733825471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8245186 + ... + 8245274.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2^733825470 is an apocalyptic number.

733825470 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 733825470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063756800).

733825470 is an abundant number, since it is smaller than the sum of its proper divisors (1393688130).

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

733825470 is a wasteful number, since it uses less digits than its factorization.

733825470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 733825470 is about 27089.2131668677. The cubic root of 733825470 is about 901.9814246514.

The spelling of 733825470 in words is "seven hundred thirty-three million, eight hundred twenty-five thousand, four hundred seventy".