946407 has 32 divisors (see below), whose sum is σ = 1672704. Its totient is φ = 460800.

The previous prime is 946397. The next prime is 946411. The reversal of 946407 is 704649.

946407 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 946407 - 2⁴ = 946391 is a prime.

946407 is a lucky number.

It is a zygodrome in base 2.

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 946407.

It is not an unprimeable number, because it can be changed into a prime (946417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3807 + ... + 4047.

It is an arithmetic number, because the mean of its divisors is an integer number (52272).

2⁹⁴⁶⁴⁰⁷ is an apocalyptic number.

946407 is a deficient number, since it is larger than the sum of its proper divisors (726297).

946407 is a wasteful number, since it uses less digits than its factorization.

946407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 946407 is about 972.8345183021. The cubic root of 946407 is about 98.1806676976.

The spelling of 946407 in words is "nine hundred forty-six thousand, four hundred seven".