407468097 has 16 divisors (see below), whose sum is σ = 604266880. Its totient is φ = 271370736.

The previous prime is 407468093. The next prime is 407468141. The reversal of 407468097 is 790864704.

It is not a de Polignac number, because 407468097 - 2² = 407468093 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407468093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21603 + ... + 35799.

It is an arithmetic number, because the mean of its divisors is an integer number (37766680).

Almost surely, 2^407468097 is an apocalyptic number.

It is an amenable number.

407468097 is a deficient number, since it is larger than the sum of its proper divisors (196798783).

407468097 is a wasteful number, since it uses less digits than its factorization.

407468097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269 (or 15263 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 407468097 is about 20185.8390214526. The cubic root of 407468097 is about 741.3635056957.

The spelling of 407468097 in words is "four hundred seven million, four hundred sixty-eight thousand, ninety-seven".