464407 has 8 divisors (see below), whose sum is σ = 487872. Its totient is φ = 441600.

The previous prime is 464383. The next prime is 464413. The reversal of 464407 is 704464.

It is a happy number.

464407 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 464407 - 2⁷ = 464279 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 (464437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1807 + ... + 2047.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

2⁴⁶⁴⁴⁰⁷ is an apocalyptic number.

464407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

464407 is a deficient number, since it is larger than the sum of its proper divisors (23465).

464407 is a wasteful number, since it uses less digits than its factorization.

464407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

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

The square root of 464407 is about 681.4741374403. The cubic root of 464407 is about 77.4401619272.

The spelling of 464407 in words is "four hundred sixty-four thousand, four hundred seven".