407079 has 8 divisors (see below), whose sum is σ = 603120. Its totient is φ = 271368.

The previous prime is 407059. The next prime is 407083. The reversal of 407079 is 970704.

It is not a de Polignac number, because 407079 - 2⁵ = 407047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15077 = 407079 / (4 + 0 + 7 + 0 + 7 + 9).

407079 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407059) 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, 7512 + ... + 7565.

It is an arithmetic number, because the mean of its divisors is an integer number (75390).

2⁴⁰⁷⁰⁷⁹ is an apocalyptic number.

407079 is a deficient number, since it is larger than the sum of its proper divisors (196041).

407079 is a wasteful number, since it uses less digits than its factorization.

407079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15086 (or 15080 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 407079 is about 638.0274288775. The cubic root of 407079 is about 74.1127451073.

The spelling of 407079 in words is "four hundred seven thousand, seventy-nine".