416988288 has 96 divisors (see below), whose sum is σ = 1263147600. Its totient is φ = 131673600.

The previous prime is 416988287. The next prime is 416988289. The reversal of 416988288 is 882889614.

It is an interprime number because it is at equal distance from previous prime (416988287) and next prime (416988289).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (416988283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12363 + ... + 31413.

Almost surely, 2^416988288 is an apocalyptic number.

416988288 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 416988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631573800).

416988288 is an abundant number, since it is smaller than the sum of its proper divisors (846159312).

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

416988288 is a wasteful number, since it uses less digits than its factorization.

416988288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19090 (or 19075 counting only the distinct ones).

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

The square root of 416988288 is about 20420.2910850947. The cubic root of 416988288 is about 747.0929170505.

The spelling of 416988288 in words is "four hundred sixteen million, nine hundred eighty-eight thousand, two hundred eighty-eight".