44412480 has 168 divisors, whose sum is σ = 174662592. Its totient is φ = 10146816.

The previous prime is 44412461. The next prime is 44412499. The reversal of 44412480 is 8421444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44412461) and next prime (44412499).

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 19059 + ... + 21261.

Almost surely, 2^44412480 is an apocalyptic number.

44412480 is a gapful number since it is divisible by the number (40) 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 44412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87331296).

44412480 is an abundant number, since it is smaller than the sum of its proper divisors (130250112).

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

44412480 is a wasteful number, since it uses less digits than its factorization.

44412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 44412480 is about 6664.2689021377. The cubic root of 44412480 is about 354.1345844680.

The spelling of 44412480 in words is "forty-four million, four hundred twelve thousand, four hundred eighty".