407242089 has 24 divisors (see below), whose sum is σ = 634605192. Its totient is φ = 250698240.

The previous prime is 407242079. The next prime is 407242097. The reversal of 407242089 is 980242704.

407242089 is a `hidden beast` number, since 407 + 242 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78907689 + 328334400 = 8883^2 + 18120^2 .

It is not a de Polignac number, because 407242089 - 2⁵ = 407242057 is a prime.

It is a super-2 number, since 2×407242089² = 331692238106167842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407242019) 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 23 ways as a sum of consecutive naturals, for example, 17002 + ... + 33219.

It is an arithmetic number, because the mean of its divisors is an integer number (26441883).

Almost surely, 2^407242089 is an apocalyptic number.

It is an amenable number.

407242089 is a deficient number, since it is larger than the sum of its proper divisors (227363103).

407242089 is a wasteful number, since it uses less digits than its factorization.

407242089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50297 (or 50294 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 407242089 is about 20180.2400629923. The cubic root of 407242089 is about 741.2264110596.

The spelling of 407242089 in words is "four hundred seven million, two hundred forty-two thousand, eighty-nine".