1005412800 has 336 divisors, whose sum is σ = 3936748032. Its totient is φ = 219648000.

The previous prime is 1005412763. The next prime is 1005412819. The reversal of 1005412800 is 82145001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 772150 + ... + 773450.

It is an arithmetic number, because the mean of its divisors is an integer number (11716512).

Almost surely, 2^1005412800 is an apocalyptic number.

1005412800 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 1005412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968374016).

1005412800 is an abundant number, since it is smaller than the sum of its proper divisors (2931335232).

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

1005412800 is a wasteful number, since it uses less digits than its factorization.

1005412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1005412800 is about 31708.2449845462. The cubic root of 1005412800 is about 1001.8010210426.

Adding to 1005412800 its reverse (82145001), we get a palindrome (1087557801).

The spelling of 1005412800 in words is "one billion, five million, four hundred twelve thousand, eight hundred".