44273952 has 240 divisors, whose sum is σ = 146361600. Its totient is φ = 13063680.

The previous prime is 44273951. The next prime is 44273959. The reversal of 44273952 is 25937244.

It is a super-3 number, since 3×44273952³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (44273951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1428177 + ... + 1428207.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 2^44273952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44273952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

44273952 is an abundant number, since it is smaller than the sum of its proper divisors (102087648).

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

44273952 is a wasteful number, since it uses less digits than its factorization.

44273952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 44273952 is about 6653.8674468312. The cubic root of 44273952 is about 353.7660045117.

The spelling of 44273952 in words is "forty-four million, two hundred seventy-three thousand, nine hundred fifty-two".