1024442400 has 288 divisors, whose sum is σ = 3543523200. Its totient is φ = 256614400.

The previous prime is 1024442381. The next prime is 1024442417. The reversal of 1024442400 is 42444201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2853421 + ... + 2853779.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^1024442400 is an apocalyptic number.

1024442400 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 1024442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771761600).

1024442400 is an abundant number, since it is smaller than the sum of its proper divisors (2519080800).

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

1024442400 is a wasteful number, since it uses less digits than its factorization.

1024442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1024442400 is about 32006.9117535572. The cubic root of 1024442400 is about 1008.0819724216.

Adding to 1024442400 its reverse (42444201), we get a palindrome (1066886601).

The spelling of 1024442400 in words is "one billion, twenty-four million, four hundred forty-two thousand, four hundred".