406830825 has 144 divisors (see below), whose sum is σ = 824518656. Its totient is φ = 190771200.

The previous prime is 406830817. The next prime is 406830829. The reversal of 406830825 is 528038604.

It is not a de Polignac number, because 406830825 - 2³ = 406830817 is a prime.

It is a super-2 number, since 2×406830825² = 331022640340361250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406830825.

It is not an unprimeable number, because it can be changed into a prime (406830829) 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 143 ways as a sum of consecutive naturals, for example, 5572989 + ... + 5573061.

It is an arithmetic number, because the mean of its divisors is an integer number (5725824).

Almost surely, 2^406830825 is an apocalyptic number.

406830825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406830825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

406830825 is a wasteful number, since it uses less digits than its factorization.

406830825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 406830825 is about 20170.0477193288. The cubic root of 406830825 is about 740.9768114387.

The spelling of 406830825 in words is "four hundred six million, eight hundred thirty thousand, eight hundred twenty-five".