414560 has 24 divisors (see below), whose sum is σ = 979776. Its totient is φ = 165760.

The previous prime is 414559. The next prime is 414571. The reversal of 414560 is 65414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414560.

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, 1136 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

2⁴¹⁴⁵⁶⁰ is an apocalyptic number.

414560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414560 is an abundant number, since it is smaller than the sum of its proper divisors (565216).

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

414560 is a wasteful number, since it uses less digits than its factorization.

414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 414560 is about 643.8633395372. The cubic root of 414560 is about 74.5639886855.

Adding to 414560 its reverse (65414), we get a palindrome (479974).

The spelling of 414560 in words is "four hundred fourteen thousand, five hundred sixty".