1264910400 has 504 divisors, whose sum is σ = 5030068680. Its totient is φ = 299335680.

The previous prime is 1264910359. The next prime is 1264910417. The reversal of 1264910400 is 40194621.

1264910400 is a `hidden beast` number, since 1 + 2 + 649 + 10 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 747256896 + 517653504 = 27336^2 + 22752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5428684 + ... + 5428916.

It is an arithmetic number, because the mean of its divisors is an integer number (9980295).

Almost surely, 2^1264910400 is an apocalyptic number.

1264910400 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 1264910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515034340).

1264910400 is an abundant number, since it is smaller than the sum of its proper divisors (3765158280).

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

1264910400 is a wasteful number, since it uses less digits than its factorization.

1264910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1264910400 is about 35565.5788649644. The cubic root of 1264910400 is about 1081.4835578636.

The spelling of 1264910400 in words is "one billion, two hundred sixty-four million, nine hundred ten thousand, four hundred".