44313120 has 72 divisors (see below), whose sum is σ = 151223436. Its totient is φ = 11816448.

The previous prime is 44313089. The next prime is 44313173. The reversal of 44313120 is 2131344.

It can be written as a sum of positive squares in 2 ways, for example, as 40297104 + 4016016 = 6348^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44313093 and 44313102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13947 + ... + 16826.

Almost surely, 2^44313120 is an apocalyptic number.

44313120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44313120 is an abundant number, since it is smaller than the sum of its proper divisors (106910316).

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

44313120 is a wasteful number, since it uses less digits than its factorization.

44313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30794 (or 30783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 44313120 is about 6656.8100468618. The cubic root of 44313120 is about 353.8702962540.

Adding to 44313120 its reverse (2131344), we get a palindrome (46444464).

The spelling of 44313120 in words is "forty-four million, three hundred thirteen thousand, one hundred twenty".