41484288 has 68 divisors (see below), whose sum is σ = 111148208. Its totient is φ = 13762560.

The previous prime is 41484271. The next prime is 41484343. The reversal of 41484288 is 88248414.

41484288 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196503 + ... + 196713.

Almost surely, 2^41484288 is an apocalyptic number.

41484288 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 41484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55574104).

41484288 is an abundant number, since it is smaller than the sum of its proper divisors (69663920).

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

41484288 is an frugal number, since it uses more digits than its factorization.

41484288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 41484288 is about 6440.8297602095. The cubic root of 41484288 is about 346.1740801544.

The spelling of 41484288 in words is "forty-one million, four hundred eighty-four thousand, two hundred eighty-eight".