41676480 has 168 divisors, whose sum is σ = 148590000. Its totient is φ = 10708992.

The previous prime is 41676473. The next prime is 41676491. The reversal of 41676480 is 8467614.

41676480 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 83271 + ... + 83769.

Almost surely, 2^41676480 is an apocalyptic number.

41676480 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 41676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74295000).

41676480 is an abundant number, since it is smaller than the sum of its proper divisors (106913520).

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

41676480 is a wasteful number, since it uses less digits than its factorization.

41676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41676480 is about 6455.7323364588. The cubic root of 41676480 is about 346.7078517801.

The spelling of 41676480 in words is "forty-one million, six hundred seventy-six thousand, four hundred eighty".