414680 has 32 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 142080.

The previous prime is 414679. The next prime is 414683. The reversal of 414680 is 86414.

414680 = T₁₁₉ + T₁₂₀ + ... + T₁₆₀.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414683) 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, 461 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

414680 is a Friedman number, since it can be written as 40*(8*6^4-1), using all its digits and the basic arithmetic operations.

2⁴¹⁴⁶⁸⁰ is an apocalyptic number.

414680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414680 is an abundant number, since it is smaller than the sum of its proper divisors (652360).

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

414680 is a wasteful number, since it uses less digits than its factorization.

414680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 414680 is about 643.9565202714. The cubic root of 414680 is about 74.5711825099.

The spelling of 414680 in words is "four hundred fourteen thousand, six hundred eighty".