414432256 has 176 divisors, whose sum is σ = 1061164800. Its totient is φ = 157483008.

The previous prime is 414432233. The next prime is 414432257. The reversal of 414432256 is 652234414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414432257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315175 + ... + 2315353.

Almost surely, 2^414432256 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 414432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530582400).

414432256 is an abundant number, since it is smaller than the sum of its proper divisors (646732544).

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

414432256 is a wasteful number, since it uses less digits than its factorization.

414432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 414432256 is about 20357.6092898945. The cubic root of 414432256 is about 745.5632909408.

The spelling of 414432256 in words is "four hundred fourteen million, four hundred thirty-two thousand, two hundred fifty-six".