40904448 has 144 divisors (see below), whose sum is σ = 124651296. Its totient is φ = 11796480.

The previous prime is 40904441. The next prime is 40904453. The reversal of 40904448 is 84440904.

40904448 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40904441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169608 + ... + 169848.

It is an arithmetic number, because the mean of its divisors is an integer number (865634).

Almost surely, 2^40904448 is an apocalyptic number.

40904448 is a gapful number since it is divisible by the number (48) 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 40904448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62325648).

40904448 is an abundant number, since it is smaller than the sum of its proper divisors (83746848).

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

40904448 is a wasteful number, since it uses less digits than its factorization.

40904448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 40904448 is about 6395.6585274700. The cubic root of 40904448 is about 344.5536424579.

The spelling of 40904448 in words is "forty million, nine hundred four thousand, four hundred forty-eight".