1264744800 has 288 divisors, whose sum is σ = 4990930560. Its totient is φ = 306547200.

The previous prime is 1264744799. The next prime is 1264744807. The reversal of 1264744800 is 84474621.

1264744800 is a `hidden beast` number, since 1 + 2 + 647 + 4 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264744807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234939 + ... + 240261.

It is an arithmetic number, because the mean of its divisors is an integer number (17329620).

Almost surely, 2^1264744800 is an apocalyptic number.

1264744800 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 1264744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495465280).

1264744800 is an abundant number, since it is smaller than the sum of its proper divisors (3726185760).

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

1264744800 is a wasteful number, since it uses less digits than its factorization.

1264744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1264744800 is about 35563.2506950644. The cubic root of 1264744800 is about 1081.4363604513.

The spelling of 1264744800 in words is "one billion, two hundred sixty-four million, seven hundred forty-four thousand, eight hundred".