41284704 has 96 divisors (see below), whose sum is σ = 117736416. Its totient is φ = 12615680.

The previous prime is 41284693. The next prime is 41284709. The reversal of 41284704 is 40748214.

41284704 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41284709) 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 15 ways as a sum of consecutive naturals, for example, 66604 + ... + 67220.

It is an arithmetic number, because the mean of its divisors is an integer number (1226421).

Almost surely, 2^41284704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41284704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58868208).

41284704 is an abundant number, since it is smaller than the sum of its proper divisors (76451712).

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

41284704 is a wasteful number, since it uses less digits than its factorization.

41284704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 41284704 is about 6425.3174240655. The cubic root of 41284704 is about 345.6180310380.

The spelling of 41284704 in words is "forty-one million, two hundred eighty-four thousand, seven hundred four".