44406468 has 120 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 13780800.

The previous prime is 44406463. The next prime is 44406473. The reversal of 44406468 is 86460444.

44406468 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 646 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (44406463) and next prime (44406473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44406463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439618 + ... + 439718.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 2^44406468 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 44406468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

44406468 is an abundant number, since it is smaller than the sum of its proper divisors (80000892).

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

44406468 is a wasteful number, since it uses less digits than its factorization.

44406468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 44406468 is about 6663.8178246408. The cubic root of 44406468 is about 354.1186043261.

The spelling of 44406468 in words is "forty-four million, four hundred six thousand, four hundred sixty-eight".