414223984 has 40 divisors (see below), whose sum is σ = 848695680. Its totient is φ = 195532800.

The previous prime is 414223981. The next prime is 414223993. The reversal of 414223984 is 489322414.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414223981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10152 + ... + 30520.

It is an arithmetic number, because the mean of its divisors is an integer number (21217392).

Almost surely, 2^414223984 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 414223984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424347840).

414223984 is an abundant number, since it is smaller than the sum of its proper divisors (434471696).

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

414223984 is a wasteful number, since it uses less digits than its factorization.

414223984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20449 (or 20443 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 414223984 is about 20352.4933116314. The cubic root of 414223984 is about 745.4383762938.

The spelling of 414223984 in words is "four hundred fourteen million, two hundred twenty-three thousand, nine hundred eighty-four".