44468100 has 54 divisors (see below), whose sum is σ = 139385610. Its totient is φ = 11857920.

The previous prime is 44468089. The next prime is 44468111. The reversal of 44468100 is 186444.

It is an interprime number because it is at equal distance from previous prime (44468089) and next prime (44468111).

It can be written as a sum of positive squares in 3 ways, for example, as 1617984 + 42850116 = 1272^2 + 6546^2 .

It is a super-2 number, since 2×44468100² = 3954823835220000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 23805 + ... + 25604.

It is an arithmetic number, because the mean of its divisors is an integer number (2581215).

Almost surely, 2^44468100 is an apocalyptic number.

It is an amenable number.

44468100 is an abundant number, since it is smaller than the sum of its proper divisors (94917510).

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

44468100 is a wasteful number, since it uses less digits than its factorization.

44468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49429 (or 49419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44468100 is about 6668.4405973211. The cubic root of 44468100 is about 354.2823563616.

The spelling of 44468100 in words is "forty-four million, four hundred sixty-eight thousand, one hundred".