1005231200 has 72 divisors (see below), whose sum is σ = 2494371600. Its totient is φ = 395481600.

The previous prime is 1005231197. The next prime is 1005231229. The reversal of 1005231200 is 21325001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38501 + ... + 59099.

It is an arithmetic number, because the mean of its divisors is an integer number (34644050).

Almost surely, 2^1005231200 is an apocalyptic number.

1005231200 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 1005231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247185800).

1005231200 is an abundant number, since it is smaller than the sum of its proper divisors (1489140400).

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

1005231200 is a wasteful number, since it uses less digits than its factorization.

1005231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20680 (or 20667 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1005231200 is about 31705.3812467221. The cubic root of 1005231200 is about 1001.7407015334.

Adding to 1005231200 its reverse (21325001), we get a palindrome (1026556201).

The spelling of 1005231200 in words is "one billion, five million, two hundred thirty-one thousand, two hundred".