1264944000 has 384 divisors, whose sum is σ = 4486229280. Its totient is φ = 315187200.

The previous prime is 1264943989. The next prime is 1264944053. The reversal of 1264944000 is 4494621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 17327964 + ... + 17328036.

Almost surely, 2^1264944000 is an apocalyptic number.

1264944000 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 1264944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243114640).

1264944000 is an abundant number, since it is smaller than the sum of its proper divisors (3221285280).

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

1264944000 is an equidigital number, since it uses as much as digits as its factorization.

1264944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1264944000 is about 35566.0512286647. The cubic root of 1264944000 is about 1081.4931336475.

The spelling of 1264944000 in words is "one billion, two hundred sixty-four million, nine hundred forty-four thousand".