44248960 has 192 divisors, whose sum is σ = 131861520. Its totient is φ = 14106624.

The previous prime is 44248957. The next prime is 44248991. The reversal of 44248960 is 6984244.

It is a super-2 number, since 2×44248960² = 3915940922163200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533079 + ... + 533161.

Almost surely, 2^44248960 is an apocalyptic number.

44248960 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 44248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65930760).

44248960 is an abundant number, since it is smaller than the sum of its proper divisors (87612560).

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

44248960 is a wasteful number, since it uses less digits than its factorization.

44248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 44248960 is about 6651.9891761788. The cubic root of 44248960 is about 353.6994267333.

The spelling of 44248960 in words is "forty-four million, two hundred forty-eight thousand, nine hundred sixty".