44407680 has 128 divisors (see below), whose sum is σ = 143575200. Its totient is φ = 11673600.

The previous prime is 44407663. The next prime is 44407711. The reversal of 44407680 is 8670444.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 193806 + ... + 194034.

Almost surely, 2^44407680 is an apocalyptic number.

44407680 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 44407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71787600).

44407680 is an abundant number, since it is smaller than the sum of its proper divisors (99167520).

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

44407680 is a wasteful number, since it uses less digits than its factorization.

44407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 44407680 is about 6663.9087628808. The cubic root of 44407680 is about 354.1218259878.

The spelling of 44407680 in words is "forty-four million, four hundred seven thousand, six hundred eighty".