407492991 has 32 divisors (see below), whose sum is σ = 619211520. Its totient is φ = 264749472.

The previous prime is 407492977. The next prime is 407493091. The reversal of 407492991 is 199294704.

It is a happy number.

It is not a de Polignac number, because 407492991 - 2⁵ = 407492959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407492971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232380 + ... + 234126.

It is an arithmetic number, because the mean of its divisors is an integer number (19350360).

Almost surely, 2^407492991 is an apocalyptic number.

407492991 is a deficient number, since it is larger than the sum of its proper divisors (211718529).

407492991 is a wasteful number, since it uses less digits than its factorization.

407492991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 407492991 is about 20186.4556324284. The cubic root of 407492991 is about 741.3786030963.

The spelling of 407492991 in words is "four hundred seven million, four hundred ninety-two thousand, nine hundred ninety-one".