414480144 has 80 divisors (see below), whose sum is σ = 1157550912. Its totient is φ = 127041024.

The previous prime is 414480109. The next prime is 414480167. The reversal of 414480144 is 441084414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181699 + ... + 183965.

Almost surely, 2^414480144 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 414480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578775456).

414480144 is an abundant number, since it is smaller than the sum of its proper divisors (743070768).

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

414480144 is a wasteful number, since it uses less digits than its factorization.

414480144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 414480144 is about 20358.7854254619. The cubic root of 414480144 is about 745.5920066591.

The spelling of 414480144 in words is "four hundred fourteen million, four hundred eighty thousand, one hundred forty-four".