1024204032 has 216 divisors, whose sum is σ = 3175885440. Its totient is φ = 316293120.

The previous prime is 1024204021. The next prime is 1024204081. The reversal of 1024204032 is 2304024201.

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 = 1024203996 and 1024204014.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3094107 + ... + 3094437.

Almost surely, 2^1024204032 is an apocalyptic number.

1024204032 is a gapful number since it is divisible by the number (12) 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 1024204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587942720).

1024204032 is an abundant number, since it is smaller than the sum of its proper divisors (2151681408).

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

1024204032 is a wasteful number, since it uses less digits than its factorization.

1024204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

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

The square root of 1024204032 is about 32003.1878412136. The cubic root of 1024204032 is about 1008.0037792753.

Adding to 1024204032 its reverse (2304024201), we get a palindrome (3328228233).

The spelling of 1024204032 in words is "one billion, twenty-four million, two hundred four thousand, thirty-two".