416268288 has 120 divisors (see below), whose sum is σ = 1234660560. Its totient is φ = 138608640.

The previous prime is 416268277. The next prime is 416268311. The reversal of 416268288 is 882862614.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441898 + ... + 442838.

It is an arithmetic number, because the mean of its divisors is an integer number (10288838).

Almost surely, 2^416268288 is an apocalyptic number.

416268288 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 416268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617330280).

416268288 is an abundant number, since it is smaller than the sum of its proper divisors (818392272).

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

416268288 is an frugal number, since it uses more digits than its factorization.

416268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 946 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 416268288 is about 20402.6539450141. The cubic root of 416268288 is about 746.6626757156.

The spelling of 416268288 in words is "four hundred sixteen million, two hundred sixty-eight thousand, two hundred eighty-eight".