41484880 has 40 divisors (see below), whose sum is σ = 98045064. Its totient is φ = 16320000.

The previous prime is 41484871. The next prime is 41484887. The reversal of 41484880 is 8848414.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 39388176 = 1448^2 + 6276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×41484880² = 3441990537228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41484887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630 + ... + 9130.

Almost surely, 2^41484880 is an apocalyptic number.

41484880 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 41484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49022532).

41484880 is an abundant number, since it is smaller than the sum of its proper divisors (56560184).

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

41484880 is a wasteful number, since it uses less digits than its factorization.

41484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 41484880 is about 6440.8757168571. The cubic root of 41484880 is about 346.1757268347.

The spelling of 41484880 in words is "forty-one million, four hundred eighty-four thousand, eight hundred eighty".