44700768 has 192 divisors, whose sum is σ = 157248000. Its totient is φ = 12068352.

The previous prime is 44700763. The next prime is 44700793. The reversal of 44700768 is 86700744.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44700763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114718 + ... + 115106.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^44700768 is an apocalyptic number.

44700768 is a gapful number since it is divisible by the number (48) 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 44700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

44700768 is an abundant number, since it is smaller than the sum of its proper divisors (112547232).

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

44700768 is a wasteful number, since it uses less digits than its factorization.

44700768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 44700768 is about 6685.8632950428. The cubic root of 44700768 is about 354.8991791985.

The spelling of 44700768 in words is "forty-four million, seven hundred thousand, seven hundred sixty-eight".