407946 has 32 divisors (see below), whose sum is σ = 1018368. Its totient is φ = 105840.

The previous prime is 407923. The next prime is 407947. The reversal of 407946 is 649704.

407946 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁵ + 0 + 9⁵ + 7⁴ + 4⁸ + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (407947) by changing a digit.

407946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (31824).

2⁴⁰⁷⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509184).

407946 is an abundant number, since it is smaller than the sum of its proper divisors (610422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407946 is a wasteful number, since it uses less digits than its factorization.

407946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906.

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

The square root of 407946 is about 638.7065053685. The cubic root of 407946 is about 74.1653230970.

The spelling of 407946 in words is "four hundred seven thousand, nine hundred forty-six".