288541440 has 540 divisors, whose sum is σ = 1184187312. Its totient is φ = 66908160.

The previous prime is 288541433. The next prime is 288541469. The reversal of 288541440 is 44145882.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 288541395 and 288541404.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545269 + ... + 12545291.

Almost surely, 2^288541440 is an apocalyptic number.

288541440 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 288541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592093656).

288541440 is an abundant number, since it is smaller than the sum of its proper divisors (895645872).

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

288541440 is a wasteful number, since it uses less digits than its factorization.

288541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 288541440 is about 16986.5075869056. The cubic root of 288541440 is about 660.7990322573.

The spelling of 288541440 in words is "two hundred eighty-eight million, five hundred forty-one thousand, four hundred forty".