464000407 has 16 divisors (see below), whose sum is σ = 508818240. Its totient is φ = 420537600.

The previous prime is 464000389. The next prime is 464000423. The reversal of 464000407 is 704000464.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 464000407 - 2⁷ = 464000279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464000447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258469 + ... + 260257.

It is an arithmetic number, because the mean of its divisors is an integer number (31801140).

Almost surely, 2^464000407 is an apocalyptic number.

464000407 is a deficient number, since it is larger than the sum of its proper divisors (44817833).

464000407 is a wasteful number, since it uses less digits than its factorization.

464000407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154.

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 464000407 is about 21540.6686757863. The cubic root of 464000407 is about 774.1755544828.

The spelling of 464000407 in words is "four hundred sixty-four million, four hundred seven", and thus it is an aban number.