725829471 has 32 divisors (see below), whose sum is σ = 1090471680. Its totient is φ = 477106848.

The previous prime is 725829457. The next prime is 725829491. The reversal of 725829471 is 174928527.

It is a happy number.

It is not a de Polignac number, because 725829471 - 2⁹ = 725828959 is a prime.

It is a super-3 number, since 3×725829471³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725829451) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 799800 + ... + 800706.

It is an arithmetic number, because the mean of its divisors is an integer number (34077240).

Almost surely, 2^725829471 is an apocalyptic number.

725829471 is a deficient number, since it is larger than the sum of its proper divisors (364642209).

725829471 is a wasteful number, since it uses less digits than its factorization.

725829471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 725829471 is about 26941.2225223727. Note that the first 3 decimals coincide. The cubic root of 725829471 is about 898.6933594630.

The spelling of 725829471 in words is "seven hundred twenty-five million, eight hundred twenty-nine thousand, four hundred seventy-one".