44742880 has 144 divisors (see below), whose sum is σ = 132723360. Its totient is φ = 14128128.

The previous prime is 44742869. The next prime is 44742883. The reversal of 44742880 is 8824744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44742883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101701 + ... + 102139.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^44742880 is an apocalyptic number.

44742880 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 44742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361680).

44742880 is an abundant number, since it is smaller than the sum of its proper divisors (87980480).

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

44742880 is a wasteful number, since it uses less digits than its factorization.

44742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 44742880 is about 6689.0118851741. The cubic root of 44742880 is about 355.0105928202.

The spelling of 44742880 in words is "forty-four million, seven hundred forty-two thousand, eight hundred eighty".