864224424 has 256 divisors, whose sum is σ = 2937600000. Its totient is φ = 229920768.

The previous prime is 864224407. The next prime is 864224467. The reversal of 864224424 is 424422468.

It is a happy number.

864224424 is a `hidden beast` number, since 8 + 6 + 4 + 224 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 1924552 + ... + 1925000.

It is an arithmetic number, because the mean of its divisors is an integer number (11475000).

Almost surely, 2^864224424 is an apocalyptic number.

864224424 is a gapful number since it is divisible by the number (84) 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 864224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800000).

864224424 is an abundant number, since it is smaller than the sum of its proper divisors (2073375576).

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

864224424 is a wasteful number, since it uses less digits than its factorization.

864224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 864224424 is about 29397.6941952936. The cubic root of 864224424 is about 952.5230895265.

The spelling of 864224424 in words is "eight hundred sixty-four million, two hundred twenty-four thousand, four hundred twenty-four".