41748480 has 192 divisors, whose sum is σ = 149385600. Its totient is φ = 11059200.

The previous prime is 41748479. The next prime is 41748493. The reversal of 41748480 is 8484714.

It is a happy number.

41748480 is a `hidden beast` number, since 4 + 174 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 276405 + ... + 276555.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^41748480 is an apocalyptic number.

41748480 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 41748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

41748480 is an abundant number, since it is smaller than the sum of its proper divisors (107637120).

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

41748480 is a wasteful number, since it uses less digits than its factorization.

41748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 41748480 is about 6461.3063694581. The cubic root of 41748480 is about 346.9073936146.

The spelling of 41748480 in words is "forty-one million, seven hundred forty-eight thousand, four hundred eighty".