407180 has 12 divisors (see below), whose sum is σ = 855120. Its totient is φ = 162864.

The previous prime is 407179. The next prime is 407191. The reversal of 407180 is 81704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20359 = 407180 / (4 + 0 + 7 + 1 + 8 + 0).

It is a plaindrome in base 12 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10160 + ... + 10199.

It is an arithmetic number, because the mean of its divisors is an integer number (71260).

2⁴⁰⁷¹⁸⁰ is an apocalyptic number.

It is an amenable number.

407180 is an abundant number, since it is smaller than the sum of its proper divisors (447940).

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

407180 is a wasteful number, since it uses less digits than its factorization.

407180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368 (or 20366 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 407180 is about 638.1065741708. The cubic root of 407180 is about 74.1188739490.

Adding to 407180 its reverse (81704), we get a palindrome (488884).

The spelling of 407180 in words is "four hundred seven thousand, one hundred eighty".