414631680 has 144 divisors (see below), whose sum is σ = 1394171520. Its totient is φ = 104730624.

The previous prime is 414631643. The next prime is 414631709. The reversal of 414631680 is 86136414.

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, 70119 + ... + 75801.

Almost surely, 2^414631680 is an apocalyptic number.

414631680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697085760).

414631680 is an abundant number, since it is smaller than the sum of its proper divisors (979539840).

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

414631680 is a wasteful number, since it uses less digits than its factorization.

414631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 414631680 is about 20362.5067219142. The cubic root of 414631680 is about 745.6828596352.

The spelling of 414631680 in words is "four hundred fourteen million, six hundred thirty-one thousand, six hundred eighty".