414425856 has 216 divisors, whose sum is σ = 1244845056. Its totient is φ = 122204160.

The previous prime is 414425839. The next prime is 414425857. The reversal of 414425856 is 658524414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414425857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4023501 + ... + 4023603.

Almost surely, 2^414425856 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 414425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622422528).

414425856 is an abundant number, since it is smaller than the sum of its proper divisors (830419200).

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

414425856 is a wasteful number, since it uses less digits than its factorization.

414425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 414425856 is about 20357.4520999068. The cubic root of 414425856 is about 745.5594530561.

The spelling of 414425856 in words is "four hundred fourteen million, four hundred twenty-five thousand, eight hundred fifty-six".