414040860 has 144 divisors (see below), whose sum is σ = 1297296000. Its totient is φ = 106831872.

The previous prime is 414040843. The next prime is 414040873. The reversal of 414040860 is 68040414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921916 + ... + 922364.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2^414040860 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 414040860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648000).

414040860 is an abundant number, since it is smaller than the sum of its proper divisors (883255140).

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

414040860 is a wasteful number, since it uses less digits than its factorization.

414040860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 414040860 is about 20347.9940043239. The cubic root of 414040860 is about 745.3285099866.

The spelling of 414040860 in words is "four hundred fourteen million, forty thousand, eight hundred sixty".