41460720 has 320 divisors, whose sum is σ = 162846720. Its totient is φ = 8515584.

The previous prime is 41460709. The next prime is 41460751. The reversal of 41460720 is 2706414.

41460720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6439²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1120542 + ... + 1120578.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^41460720 is an apocalyptic number.

41460720 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 41460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

41460720 is an abundant number, since it is smaller than the sum of its proper divisors (121386000).

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

41460720 is a wasteful number, since it uses less digits than its factorization.

41460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 41460720 is about 6438.9999223482. Note that the first 4 decimals coincide. The cubic root of 41460720 is about 346.1085117458.

The spelling of 41460720 in words is "forty-one million, four hundred sixty thousand, seven hundred twenty".