41464224 has 120 divisors (see below), whose sum is σ = 129255588. Its totient is φ = 12994560.

The previous prime is 41464217. The next prime is 41464249. The reversal of 41464224 is 42246414.

It is a happy number.

41464224 is a `hidden beast` number, since 4 + 14 + 642 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 1774224 = 6300^2 + 1332^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43594 + ... + 44534.

Almost surely, 2^41464224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627794).

41464224 is an abundant number, since it is smaller than the sum of its proper divisors (87791364).

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

41464224 is a wasteful number, since it uses less digits than its factorization.

41464224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 963 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 41464224 is about 6439.2720085426. The cubic root of 41464224 is about 346.1182617780.

The spelling of 41464224 in words is "forty-one million, four hundred sixty-four thousand, two hundred twenty-four".