287941440 has 112 divisors (see below), whose sum is σ = 918130752. Its totient is φ = 76455936.

The previous prime is 287941429. The next prime is 287941471. The reversal of 287941440 is 44149782.

287941440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294232 + ... + 295208.

It is an arithmetic number, because the mean of its divisors is an integer number (8197596).

Almost surely, 2^287941440 is an apocalyptic number.

287941440 is a gapful number since it is divisible by the number (20) 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 287941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459065376).

287941440 is an abundant number, since it is smaller than the sum of its proper divisors (630189312).

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

287941440 is a wasteful number, since it uses less digits than its factorization.

287941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 287941440 is about 16968.8373202173. The cubic root of 287941440 is about 660.3406872866.

The spelling of 287941440 in words is "two hundred eighty-seven million, nine hundred forty-one thousand, four hundred forty".