407825993 has 2 divisors, whose sum is σ = 407825994. Its totient is φ = 407825992.

The previous prime is 407825989. The next prime is 407826019. The reversal of 407825993 is 399528704.

It is a happy number.

407825993 is nontrivially palindromic in base 7.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269222464 + 138603529 = 16408^2 + 11773^2 .

It is a cyclic number.

It is not a de Polignac number, because 407825993 - 2² = 407825989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (407825933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203912996 + 203912997.

It is an arithmetic number, because the mean of its divisors is an integer number (203912997).

Almost surely, 2^407825993 is an apocalyptic number.

It is an amenable number.

407825993 is a deficient number, since it is larger than the sum of its proper divisors (1).

407825993 is an equidigital number, since it uses as much as digits as its factorization.

407825993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 407825993 is about 20194.7021022842. The cubic root of 407825993 is about 741.5804988701.

The spelling of 407825993 in words is "four hundred seven million, eight hundred twenty-five thousand, nine hundred ninety-three".