44820468 has 288 divisors, whose sum is σ = 159344640. Its totient is φ = 10264320.

The previous prime is 44820463. The next prime is 44820493. The reversal of 44820468 is 86402844.

44820468 is a `hidden beast` number, since 448 + 204 + 6 + 8 = 666.

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 (44820463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211346 + ... + 1211382.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 2^44820468 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 44820468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

44820468 is an abundant number, since it is smaller than the sum of its proper divisors (114524172).

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

44820468 is a wasteful number, since it uses less digits than its factorization.

44820468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 44820468 is about 6694.8090338709. The cubic root of 44820468 is about 355.2156806141.

The spelling of 44820468 in words is "forty-four million, eight hundred twenty thousand, four hundred sixty-eight".