43288960 has 192 divisors, whose sum is σ = 125349840. Its totient is φ = 14192640.

The previous prime is 43288939. The next prime is 43288979. The reversal of 43288960 is 6988234.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006699 + ... + 1006741.

Almost surely, 2^43288960 is an apocalyptic number.

43288960 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 43288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674920).

43288960 is an abundant number, since it is smaller than the sum of its proper divisors (82060880).

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

43288960 is a wasteful number, since it uses less digits than its factorization.

43288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 43288960 is about 6579.4346261666. The cubic root of 43288960 is about 351.1228158726.

The spelling of 43288960 in words is "forty-three million, two hundred eighty-eight thousand, nine hundred sixty".