1002424320 has 288 divisors, whose sum is σ = 3545451000. Its totient is φ = 261881856.

The previous prime is 1002424289. The next prime is 1002424333. The reversal of 1002424320 is 234242001.

1002424320 is a `hidden beast` number, since 100 + 242 + 4 + 320 = 666.

1002424320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 637461504 + 364962816 = 25248^2 + 19104^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002424293 and 1002424302.

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, 6727606 + ... + 6727754.

Almost surely, 2^1002424320 is an apocalyptic number.

1002424320 is a gapful number since it is divisible by the number (10) 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 1002424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772725500).

1002424320 is an abundant number, since it is smaller than the sum of its proper divisors (2543026680).

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

1002424320 is a wasteful number, since it uses less digits than its factorization.

1002424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1002424320 is about 31661.0852625111. The cubic root of 1002424320 is about 1000.8074545084.

Adding to 1002424320 its reverse (234242001), we get a palindrome (1236666321).

The spelling of 1002424320 in words is "one billion, two million, four hundred twenty-four thousand, three hundred twenty".