464002407 has 36 divisors (see below), whose sum is σ = 757372824. Its totient is φ = 271467840.

The previous prime is 464002351. The next prime is 464002421. The reversal of 464002407 is 704200464.

It is not a de Polignac number, because 464002407 - 2⁸ = 464002151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464002447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80473 + ... + 86045.

It is an arithmetic number, because the mean of its divisors is an integer number (21038134).

Almost surely, 2^464002407 is an apocalyptic number.

464002407 is a deficient number, since it is larger than the sum of its proper divisors (293370417).

464002407 is a wasteful number, since it uses less digits than its factorization.

464002407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 464002407 is about 21540.7150995504. The cubic root of 464002407 is about 774.1766668014.

The spelling of 464002407 in words is "four hundred sixty-four million, two thousand, four hundred seven".