416444928 has 80 divisors (see below), whose sum is σ = 1118098080. Its totient is φ = 137732096.

The previous prime is 416444927. The next prime is 416444929. The reversal of 416444928 is 829444614.

It is an interprime number because it is at equal distance from previous prime (416444927) and next prime (416444929).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 416444928.

It is not an unprimeable number, because it can be changed into a prime (416444921) 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, 209443 + ... + 211421.

It is an arithmetic number, because the mean of its divisors is an integer number (13976226).

Almost surely, 2^416444928 is an apocalyptic number.

416444928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559049040).

416444928 is an abundant number, since it is smaller than the sum of its proper divisors (701653152).

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

416444928 is a wasteful number, since it uses less digits than its factorization.

416444928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2121 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 416444928 is about 20406.9823344854. The cubic root of 416444928 is about 746.7682741543.

The spelling of 416444928 in words is "four hundred sixteen million, four hundred forty-four thousand, nine hundred twenty-eight".