41486480 has 80 divisors (see below), whose sum is σ = 115064064. Its totient is φ = 13601280.

The previous prime is 41486479. The next prime is 41486483. The reversal of 41486480 is 8468414.

41486480 = 2³ + 3³ + ... + 113³.

It is a Cunningham number, because it is equal to 6441²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×41486480² = 3442256045580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 41486480.

It is not an unprimeable number, because it can be changed into a prime (41486483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11270 + ... + 14490.

Almost surely, 2^41486480 is an apocalyptic number.

41486480 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 41486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57532032).

41486480 is an abundant number, since it is smaller than the sum of its proper divisors (73577584).

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

41486480 is a wasteful number, since it uses less digits than its factorization.

41486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 41486480 is about 6440.9999223723. Note that the first 4 decimals coincide. The cubic root of 41486480 is about 346.1801772436.

The spelling of 41486480 in words is "forty-one million, four hundred eighty-six thousand, four hundred eighty".