416328144 has 80 divisors (see below), whose sum is σ = 1125677952. Its totient is φ = 132447744.

The previous prime is 416328127. The next prime is 416328179. The reversal of 416328144 is 441823614.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91917 + ... + 96339.

Almost surely, 2^416328144 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 416328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562838976).

416328144 is an abundant number, since it is smaller than the sum of its proper divisors (709349808).

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

416328144 is a wasteful number, since it uses less digits than its factorization.

416328144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4518 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 416328144 is about 20404.1207602778. The cubic root of 416328144 is about 746.6984620106.

The spelling of 416328144 in words is "four hundred sixteen million, three hundred twenty-eight thousand, one hundred forty-four".