468407 has 8 divisors (see below), whose sum is σ = 500400. Its totient is φ = 437184.

The previous prime is 468389. The next prime is 468421. The reversal of 468407 is 704864.

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 468407 - 2⁸ = 468151 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468107) 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, 1553 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (62550).

2⁴⁶⁸⁴⁰⁷ is an apocalyptic number.

468407 is a deficient number, since it is larger than the sum of its proper divisors (31993).

468407 is a wasteful number, since it uses less digits than its factorization.

468407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 468407 is about 684.4026592584. The cubic root of 468407 is about 77.6618608122.

The spelling of 468407 in words is "four hundred sixty-eight thousand, four hundred seven".