46407 has 8 divisors (see below), whose sum is σ = 64000. Its totient is φ = 29880.

The previous prime is 46399. The next prime is 46411. The reversal of 46407 is 70464.

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

It is not a de Polignac number, because 46407 - 2³ = 46399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46407.

It is not an unprimeable number, because it can be changed into a prime (46447) 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, 157 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (8000).

2⁴⁶⁴⁰⁷ is an apocalyptic number.

46407 is a deficient number, since it is larger than the sum of its proper divisors (17593).

46407 is a wasteful number, since it uses less digits than its factorization.

46407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 46407 is about 215.4228400147. The cubic root of 46407 is about 35.9358425196.

The spelling of 46407 in words is "forty-six thousand, four hundred seven".