44917960 has 64 divisors (see below), whose sum is σ = 105462000. Its totient is φ = 17203200.

The previous prime is 44917933. The next prime is 44917967. The reversal of 44917960 is 6971944.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1542564 + 43375396 = 1242^2 + 6586^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44917967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99816 + ... + 100264.

Almost surely, 2^44917960 is an apocalyptic number.

44917960 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 44917960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731000).

44917960 is an abundant number, since it is smaller than the sum of its proper divisors (60544040).

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

44917960 is a wasteful number, since it uses less digits than its factorization.

44917960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 44917960 is about 6702.0862423577. The cubic root of 44917960 is about 355.4730452349.

The spelling of 44917960 in words is "forty-four million, nine hundred seventeen thousand, nine hundred sixty".