41284480 has 64 divisors (see below), whose sum is σ = 99474480. Its totient is φ = 16384000.

The previous prime is 41284469. The next prime is 41284501. The reversal of 41284480 is 8448214.

41284480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 160512 + ... + 160768.

Almost surely, 2^41284480 is an apocalyptic number.

41284480 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 41284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737240).

41284480 is an abundant number, since it is smaller than the sum of its proper divisors (58190000).

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

41284480 is a wasteful number, since it uses less digits than its factorization.

41284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 41284480 is about 6425.2999929964. The cubic root of 41284480 is about 345.6174059592.

The spelling of 41284480 in words is "forty-one million, two hundred eighty-four thousand, four hundred eighty".