41284864 has 72 divisors (see below), whose sum is σ = 87564960. Its totient is φ = 19396608.

The previous prime is 41284843. The next prime is 41284871. The reversal of 41284864 is 46848214.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497367 + ... + 497449.

It is an arithmetic number, because the mean of its divisors is an integer number (1216180).

Almost surely, 2^41284864 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 41284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43782480).

41284864 is an abundant number, since it is smaller than the sum of its proper divisors (46280096).

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

41284864 is an equidigital number, since it uses as much as digits as its factorization.

41284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 41284864 is about 6425.3298748002. The cubic root of 41284864 is about 345.6184775215.

The spelling of 41284864 in words is "forty-one million, two hundred eighty-four thousand, eight hundred sixty-four".