407889 has 8 divisors (see below), whose sum is σ = 604320. Its totient is φ = 271908.

The previous prime is 407879. The next prime is 407893. The reversal of 407889 is 988704.

407889 = 27² + 28² + ... + 107².

It is not a de Polignac number, because 407889 - 2⁵ = 407857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407879) 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, 7527 + ... + 7580.

It is an arithmetic number, because the mean of its divisors is an integer number (75540).

2⁴⁰⁷⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

407889 is a deficient number, since it is larger than the sum of its proper divisors (196431).

407889 is a wasteful number, since it uses less digits than its factorization.

407889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15116 (or 15110 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 407889 is about 638.6618823760. The cubic root of 407889 is about 74.1618687017.

It can be divided in two parts, 407 and 889, that added together give a 4-th power (1296 = 6⁴).

The spelling of 407889 in words is "four hundred seven thousand, eight hundred eighty-nine".