407680441 has 12 divisors (see below), whose sum is σ = 477159312. Its totient is φ = 347289768.

The previous prime is 407680439. The next prime is 407680447. The reversal of 407680441 is 144086704.

It is not a de Polignac number, because 407680441 - 2¹ = 407680439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407680397 and 407680406.

It is not an unprimeable number, because it can be changed into a prime (407680447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17535 + ... + 33508.

It is an arithmetic number, because the mean of its divisors is an integer number (39763276).

Almost surely, 2^407680441 is an apocalyptic number.

It is an amenable number.

407680441 is a deficient number, since it is larger than the sum of its proper divisors (69478871).

407680441 is a wasteful number, since it uses less digits than its factorization.

407680441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51220 (or 51213 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 407680441 is about 20191.0980632555. The cubic root of 407680441 is about 741.4922656773.

The spelling of 407680441 in words is "four hundred seven million, six hundred eighty thousand, four hundred forty-one".