288419040 has 576 divisors, whose sum is σ = 1268047872. Its totient is φ = 58060800.

The previous prime is 288418997. The next prime is 288419063. The reversal of 288419040 is 40914882.

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 = 288418986 and 288419004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062205 + ... + 4062275.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^288419040 is an apocalyptic number.

288419040 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 288419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

288419040 is an abundant number, since it is smaller than the sum of its proper divisors (979628832).

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

288419040 is a wasteful number, since it uses less digits than its factorization.

288419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 288419040 is about 16982.9043452526. The cubic root of 288419040 is about 660.7055815083.

The spelling of 288419040 in words is "two hundred eighty-eight million, four hundred nineteen thousand, forty".