1264738800 has 480 divisors, whose sum is σ = 4882187520. Its totient is φ = 276480000.

The previous prime is 1264738799. The next prime is 1264738801. The reversal of 1264738800 is 88374621.

It is an interprime number because it is at equal distance from previous prime (1264738799) and next prime (1264738801).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264738801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5038675 + ... + 5038925.

It is an arithmetic number, because the mean of its divisors is an integer number (10171224).

Almost surely, 2^1264738800 is an apocalyptic number.

1264738800 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 1264738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441093760).

1264738800 is an abundant number, since it is smaller than the sum of its proper divisors (3617448720).

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

1264738800 is a wasteful number, since it uses less digits than its factorization.

1264738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1264738800 is about 35563.1663382213. The cubic root of 1264738800 is about 1081.4346503227.

The spelling of 1264738800 in words is "one billion, two hundred sixty-four million, seven hundred thirty-eight thousand, eight hundred".