407849607 has 32 divisors (see below), whose sum is σ = 660360960. Its totient is φ = 246728160.

The previous prime is 407849549. The next prime is 407849677. The reversal of 407849607 is 706948704.

It is not a de Polignac number, because 407849607 - 2¹⁸ = 407587463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407849677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235848 + ... + 237570.

It is an arithmetic number, because the mean of its divisors is an integer number (20636280).

Almost surely, 2^407849607 is an apocalyptic number.

407849607 is a deficient number, since it is larger than the sum of its proper divisors (252511353).

407849607 is a wasteful number, since it uses less digits than its factorization.

407849607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2534 counting only the distinct ones).

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

The square root of 407849607 is about 20195.2867521112. The cubic root of 407849607 is about 741.5948116278.

The spelling of 407849607 in words is "four hundred seven million, eight hundred forty-nine thousand, six hundred seven".