456381009 has 12 divisors (see below), whose sum is σ = 753390976. Its totient is φ = 260789112.

The previous prime is 456380987. The next prime is 456381011. The reversal of 456381009 is 900183654.

456381009 is a `hidden beast` number, since 4 + 5 + 638 + 10 + 0 + 9 = 666.

It is not a de Polignac number, because 456381009 - 2⁹ = 456380497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456381049) 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, 3622009 + ... + 3622134.

Almost surely, 2^456381009 is an apocalyptic number.

It is an amenable number.

456381009 is a deficient number, since it is larger than the sum of its proper divisors (297009967).

456381009 is a wasteful number, since it uses less digits than its factorization.

456381009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244156 (or 7244153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 456381009 is about 21363.0758319115. The cubic root of 456381009 is about 769.9145399054.

The spelling of 456381009 in words is "four hundred fifty-six million, three hundred eighty-one thousand, nine".