407949 has 16 divisors (see below), whose sum is σ = 607680. Its totient is φ = 241920.

The previous prime is 407947. The next prime is 407959. The reversal of 407949 is 949704.

It is not a de Polignac number, because 407949 - 2¹ = 407947 is a prime.

407949 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (37980).

2⁴⁰⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

407949 is a deficient number, since it is larger than the sum of its proper divisors (199731).

407949 is a wasteful number, since it uses less digits than its factorization.

407949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 407949 is about 638.7088538607. The cubic root of 407949 is about 74.1655048984.

The spelling of 407949 in words is "four hundred seven thousand, nine hundred forty-nine".