44248640 has 56 divisors (see below), whose sum is σ = 107396280. Its totient is φ = 17358848.

The previous prime is 44248601. The next prime is 44248651. The reversal of 44248640 is 4684244.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 36675136 = 2752^2 + 6056^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 44248597 and 44248606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15656 + ... + 18264.

Almost surely, 2^44248640 is an apocalyptic number.

44248640 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 44248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53698140).

44248640 is an abundant number, since it is smaller than the sum of its proper divisors (63147640).

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

44248640 is a wasteful number, since it uses less digits than its factorization.

44248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 44248640 is about 6651.9651231798. The cubic root of 44248640 is about 353.6985741024.

The spelling of 44248640 in words is "forty-four million, two hundred forty-eight thousand, six hundred forty".