41793480 has 96 divisors (see below), whose sum is σ = 143839800. Its totient is φ = 10487808.

The previous prime is 41793469. The next prime is 41793503. The reversal of 41793480 is 8439714.

It is a happy number.

41793480 is a `hidden beast` number, since 4 + 179 + 3 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38266596 + 3526884 = 6186^2 + 1878^2 .

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 23 ways as a sum of consecutive naturals, for example, 2706 + ... + 9534.

Almost surely, 2^41793480 is an apocalyptic number.

41793480 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 41793480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71919900).

41793480 is an abundant number, since it is smaller than the sum of its proper divisors (102046320).

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

41793480 is a wasteful number, since it uses less digits than its factorization.

41793480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 41793480 is about 6464.7876995304. The cubic root of 41793480 is about 347.0319907831.

The spelling of 41793480 in words is "forty-one million, seven hundred ninety-three thousand, four hundred eighty".