41972480 has 108 divisors (see below), whose sum is σ = 110915616. Its totient is φ = 15206400.

The previous prime is 41972477. The next prime is 41972509. The reversal of 41972480 is 8427914.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41972480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154745 + ... + 155015.

Almost surely, 2^41972480 is an apocalyptic number.

41972480 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 41972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55457808).

41972480 is an abundant number, since it is smaller than the sum of its proper divisors (68943136).

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

41972480 is a wasteful number, since it uses less digits than its factorization.

41972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 41972480 is about 6478.6171363957. The cubic root of 41972480 is about 347.5267270646.

The spelling of 41972480 in words is "forty-one million, nine hundred seventy-two thousand, four hundred eighty".