414780 has 48 divisors (see below), whose sum is σ = 1204224. Its totient is φ = 106560.

The previous prime is 414779. The next prime is 414793. The reversal of 414780 is 87414.

It is a self number, because there is not a number n which added to its sum of digits gives 414780.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (25088).

2⁴¹⁴⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602112).

414780 is an abundant number, since it is smaller than the sum of its proper divisors (789444).

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

414780 is a wasteful number, since it uses less digits than its factorization.

414780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 414780 is about 644.0341605847. The cubic root of 414780 is about 74.5771763034.

The spelling of 414780 in words is "four hundred fourteen thousand, seven hundred eighty".