414380 has 12 divisors (see below), whose sum is σ = 870240. Its totient is φ = 165744.

The previous prime is 414367. The next prime is 414383. The reversal of 414380 is 83414.

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: 20719 = 414380 / (4 + 1 + 4 + 3 + 8 + 0).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414383) by changing a digit.

414380 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 3 ways as a sum of consecutive naturals, for example, 10340 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (72520).

2⁴¹⁴³⁸⁰ is an apocalyptic number.

It is an amenable number.

414380 is an abundant number, since it is smaller than the sum of its proper divisors (455860).

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

414380 is a wasteful number, since it uses less digits than its factorization.

414380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20728 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414380 is about 643.7235431457. The cubic root of 414380 is about 74.5531953456.

Adding to 414380 its reverse (83414), we get a palindrome (497794).

The spelling of 414380 in words is "four hundred fourteen thousand, three hundred eighty".