1264411200 has 336 divisors, whose sum is σ = 4666951296. Its totient is φ = 297369600.

The previous prime is 1264411171. The next prime is 1264411201. The reversal of 1264411200 is 21144621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1264411201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1434760 + ... + 1435640.

It is an arithmetic number, because the mean of its divisors is an integer number (13889736).

Almost surely, 2^1264411200 is an apocalyptic number.

1264411200 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 1264411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333475648).

1264411200 is an abundant number, since it is smaller than the sum of its proper divisors (3402540096).

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

1264411200 is a wasteful number, since it uses less digits than its factorization.

1264411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1264411200 is about 35558.5601508273. The cubic root of 1264411200 is about 1081.3412690952.

Adding to 1264411200 its reverse (21144621), we get a palindrome (1285555821).

The spelling of 1264411200 in words is "one billion, two hundred sixty-four million, four hundred eleven thousand, two hundred".