41952480 has 96 divisors (see below), whose sum is σ = 134120448. Its totient is φ = 11020800.

The previous prime is 41952467. The next prime is 41952503. The reversal of 41952480 is 8425914.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33465 + ... + 34695.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 2^41952480 is an apocalyptic number.

41952480 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 41952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060224).

41952480 is an abundant number, since it is smaller than the sum of its proper divisors (92167968).

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

41952480 is a wasteful number, since it uses less digits than its factorization.

41952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 41952480 is about 6477.0734132014. The cubic root of 41952480 is about 347.4715191536.

The spelling of 41952480 in words is "forty-one million, nine hundred fifty-two thousand, four hundred eighty".