416288328 has 64 divisors (see below), whose sum is σ = 1097841600. Its totient is φ = 131178240.

The previous prime is 416288321. The next prime is 416288329. The reversal of 416288328 is 823882614.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 416288328.

It is not an unprimeable number, because it can be changed into a prime (416288321) 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, 351898 + ... + 353078.

It is an arithmetic number, because the mean of its divisors is an integer number (17153775).

Almost surely, 2^416288328 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 416288328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548920800).

416288328 is an abundant number, since it is smaller than the sum of its proper divisors (681553272).

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

416288328 is a wasteful number, since it uses less digits than its factorization.

416288328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1978 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 416288328 is about 20403.1450516826. The cubic root of 416288328 is about 746.6746574754.

The spelling of 416288328 in words is "four hundred sixteen million, two hundred eighty-eight thousand, three hundred twenty-eight".