41974560 has 144 divisors (see below), whose sum is σ = 145139904. Its totient is φ = 11045376.

The previous prime is 41974531. The next prime is 41974577. The reversal of 41974560 is 6547914.

41974560 is a `hidden beast` number, since 4 + 1 + 97 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148179 + ... + 148461.

It is an arithmetic number, because the mean of its divisors is an integer number (1007916).

Almost surely, 2^41974560 is an apocalyptic number.

41974560 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 41974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72569952).

41974560 is an abundant number, since it is smaller than the sum of its proper divisors (103165344).

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

41974560 is a wasteful number, since it uses less digits than its factorization.

41974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 41974560 is about 6478.7776624916. Note that the first 3 decimals coincide. The cubic root of 41974560 is about 347.5324676805.

The spelling of 41974560 in words is "forty-one million, nine hundred seventy-four thousand, five hundred sixty".