414481656 has 128 divisors (see below), whose sum is σ = 1140480000. Its totient is φ = 125038080.

The previous prime is 414481591. The next prime is 414481699. The reversal of 414481656 is 656184414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1540690 + ... + 1540958.

It is an arithmetic number, because the mean of its divisors is an integer number (8910000).

Almost surely, 2^414481656 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 414481656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240000).

414481656 is an abundant number, since it is smaller than the sum of its proper divisors (725998344).

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

414481656 is a wasteful number, since it uses less digits than its factorization.

414481656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 414481656 is about 20358.8225592739. The cubic root of 414481656 is about 745.5929132837.

The spelling of 414481656 in words is "four hundred fourteen million, four hundred eighty-one thousand, six hundred fifty-six".