416289888 has 144 divisors (see below), whose sum is σ = 1412555760. Its totient is φ = 118927872.

The previous prime is 416289883. The next prime is 416289889. The reversal of 416289888 is 888982614.

416289888 is a `hidden beast` number, since 4 + 1 + 628 + 9 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416289883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37420 + ... + 47252.

It is an arithmetic number, because the mean of its divisors is an integer number (9809415).

Almost surely, 2^416289888 is an apocalyptic number.

416289888 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 416289888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706277880).

416289888 is an abundant number, since it is smaller than the sum of its proper divisors (996265872).

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

416289888 is a wasteful number, since it uses less digits than its factorization.

416289888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9845 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 416289888 is about 20403.1832810471. The cubic root of 416289888 is about 746.6755901711.

The spelling of 416289888 in words is "four hundred sixteen million, two hundred eighty-nine thousand, eight hundred eighty-eight".