44865120 has 96 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 11865600.

The previous prime is 44865089. The next prime is 44865131. The reversal of 44865120 is 2156844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×44865120² = 4025757985228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 72171 + ... + 72789.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^44865120 is an apocalyptic number.

44865120 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 44865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

44865120 is an abundant number, since it is smaller than the sum of its proper divisors (97625760).

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

44865120 is a wasteful number, since it uses less digits than its factorization.

44865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 44865120 is about 6698.1430262424. The cubic root of 44865120 is about 355.3336016372. Note that the first 3 decimals are identical.

The spelling of 44865120 in words is "forty-four million, eight hundred sixty-five thousand, one hundred twenty".