714829248 has 504 divisors, whose sum is σ = 2650053120. Its totient is φ = 182891520.

The previous prime is 714829237. The next prime is 714829249. The reversal of 714829248 is 842928417.

714829248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714829249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16623915 + ... + 16623957.

Almost surely, 2^714829248 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 714829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325026560).

714829248 is an abundant number, since it is smaller than the sum of its proper divisors (1935223872).

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

714829248 is a wasteful number, since it uses less digits than its factorization.

714829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 714829248 is about 26736.2908422242. The cubic root of 714829248 is about 894.1302154064.

The spelling of 714829248 in words is "seven hundred fourteen million, eight hundred twenty-nine thousand, two hundred forty-eight".