41724480 has 168 divisors, whose sum is σ = 154277568. Its totient is φ = 9526272.

The previous prime is 41724479. The next prime is 41724497. The reversal of 41724480 is 8442714.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 46597 + ... + 47483.

Almost surely, 2^41724480 is an apocalyptic number.

41724480 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 41724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77138784).

41724480 is an abundant number, since it is smaller than the sum of its proper divisors (112553088).

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

41724480 is a wasteful number, since it uses less digits than its factorization.

41724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 41724480 is about 6459.4488929010. The cubic root of 41724480 is about 346.8409051790.

The spelling of 41724480 in words is "forty-one million, seven hundred twenty-four thousand, four hundred eighty".