1264484000 has 96 divisors (see below), whose sum is σ = 3345962256. Its totient is φ = 466867200.

The previous prime is 1264483999. The next prime is 1264484051. The reversal of 1264484000 is 4844621.

It can be written as a sum of positive squares in 8 ways, for example, as 7639696 + 1256844304 = 2764^2 + 35452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39842 + ... + 64158.

Almost surely, 2^1264484000 is an apocalyptic number.

1264484000 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 1264484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672981128).

1264484000 is an abundant number, since it is smaller than the sum of its proper divisors (2081478256).

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

1264484000 is a wasteful number, since it uses less digits than its factorization.

1264484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24355 (or 24337 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 1264484000 is about 35559.5837995891. The cubic root of 1264484000 is about 1081.3620218729.

The spelling of 1264484000 in words is "one billion, two hundred sixty-four million, four hundred eighty-four thousand".