416616288 has 48 divisors (see below), whose sum is σ = 1193040576. Its totient is φ = 126247040.

The previous prime is 416616283. The next prime is 416616313. The reversal of 416616288 is 882616614.

It is a tau number, because it is divible by the number of its divisors (48).

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 (416616283) 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 7 ways as a sum of consecutive naturals, for example, 196206 + ... + 198317.

It is an arithmetic number, because the mean of its divisors is an integer number (24855012).

Almost surely, 2^416616288 is an apocalyptic number.

416616288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416616288 is an abundant number, since it is smaller than the sum of its proper divisors (776424288).

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

416616288 is a wasteful number, since it uses less digits than its factorization.

416616288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394547 (or 394539 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 416616288 is about 20411.1804656174. The cubic root of 416616288 is about 746.8706875868.

The spelling of 416616288 in words is "four hundred sixteen million, six hundred sixteen thousand, two hundred eighty-eight".