44252880 has 240 divisors, whose sum is σ = 164882304. Its totient is φ = 9784320.

The previous prime is 44252867. The next prime is 44252939. The reversal of 44252880 is 8825244.

It is a happy number.

44252880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623245 + ... + 623315.

Almost surely, 2^44252880 is an apocalyptic number.

44252880 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 44252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82441152).

44252880 is an abundant number, since it is smaller than the sum of its proper divisors (120629424).

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

44252880 is a wasteful number, since it uses less digits than its factorization.

44252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 44252880 is about 6652.2838183589. The cubic root of 44252880 is about 353.7098711280.

The spelling of 44252880 in words is "forty-four million, two hundred fifty-two thousand, eight hundred eighty".