41976480 has 288 divisors, whose sum is σ = 168158592. Its totient is φ = 8570880.

The previous prime is 41976457. The next prime is 41976527. The reversal of 41976480 is 8467914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354065 + ... + 1354095.

It is an arithmetic number, because the mean of its divisors is an integer number (583884).

Almost surely, 2^41976480 is an apocalyptic number.

41976480 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 41976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84079296).

41976480 is an abundant number, since it is smaller than the sum of its proper divisors (126182112).

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

41976480 is a wasteful number, since it uses less digits than its factorization.

41976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 41976480 is about 6478.9258368961. The cubic root of 41976480 is about 347.5377665421.

The spelling of 41976480 in words is "forty-one million, nine hundred seventy-six thousand, four hundred eighty".