1024641200 has 120 divisors (see below), whose sum is σ = 2731700160. Its totient is φ = 366188800.

The previous prime is 1024641199. The next prime is 1024641229. The reversal of 1024641200 is 21464201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257627 + ... + 261573.

It is an arithmetic number, because the mean of its divisors is an integer number (22764168).

Almost surely, 2^1024641200 is an apocalyptic number.

1024641200 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 1024641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365850080).

1024641200 is an abundant number, since it is smaller than the sum of its proper divisors (1707058960).

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

1024641200 is a wasteful number, since it uses less digits than its factorization.

1024641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1024641200 is about 32010.0171821260. The cubic root of 1024641200 is about 1008.1471765867.

The spelling of 1024641200 in words is "one billion, twenty-four million, six hundred forty-one thousand, two hundred".