41574960 has 240 divisors, whose sum is σ = 163185984. Its totient is φ = 9289728.

The previous prime is 41574959. The next prime is 41574971. The reversal of 41574960 is 6947514.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367864 + ... + 367976.

Almost surely, 2^41574960 is an apocalyptic number.

41574960 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 41574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81592992).

41574960 is an abundant number, since it is smaller than the sum of its proper divisors (121611024).

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

41574960 is a wasteful number, since it uses less digits than its factorization.

41574960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

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

The square root of 41574960 is about 6447.8647628498. The cubic root of 41574960 is about 346.4261069419.

The spelling of 41574960 in words is "forty-one million, five hundred seventy-four thousand, nine hundred sixty".