44145920 has 144 divisors (see below), whose sum is σ = 130488960. Its totient is φ = 13934592.

The previous prime is 44145887. The next prime is 44145931. The reversal of 44145920 is 2954144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116291 + ... + 116669.

Almost surely, 2^44145920 is an apocalyptic number.

44145920 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 44145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65244480).

44145920 is an abundant number, since it is smaller than the sum of its proper divisors (86343040).

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

44145920 is a wasteful number, since it uses less digits than its factorization.

44145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 44145920 is about 6644.2396103693. The cubic root of 44145920 is about 353.4246668681.

The spelling of 44145920 in words is "forty-four million, one hundred forty-five thousand, nine hundred twenty".