44251920 has 100 divisors (see below), whose sum is σ = 153715980. Its totient is φ = 11798784.

The previous prime is 44251919. The next prime is 44251927. The reversal of 44251920 is 2915244.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 24324624 = 4464^2 + 4932^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44251927) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3066 + ... + 9894.

Almost surely, 2^44251920 is an apocalyptic number.

44251920 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 44251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76857990).

44251920 is an abundant number, since it is smaller than the sum of its proper divisors (109464060).

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

44251920 is a wasteful number, since it uses less digits than its factorization.

44251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 44251920 is about 6652.2116622970. The cubic root of 44251920 is about 353.7073133741.

The spelling of 44251920 in words is "forty-four million, two hundred fifty-one thousand, nine hundred twenty".