41484960 has 288 divisors, whose sum is σ = 161808192. Its totient is φ = 9953280.

The previous prime is 41484959. The next prime is 41484983. The reversal of 41484960 is 6948414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427632 + ... + 427728.

It is an arithmetic number, because the mean of its divisors is an integer number (561834).

Almost surely, 2^41484960 is an apocalyptic number.

41484960 is a gapful number since it is divisible by the number (40) 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 41484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80904096).

41484960 is an abundant number, since it is smaller than the sum of its proper divisors (120323232).

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

41484960 is a wasteful number, since it uses less digits than its factorization.

41484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41484960 is about 6440.8819271898. The cubic root of 41484960 is about 346.1759493578.

The spelling of 41484960 in words is "forty-one million, four hundred eighty-four thousand, nine hundred sixty".