1264261440 has 448 divisors, whose sum is σ = 4700747520. Its totient is φ = 285081600.

The previous prime is 1264261433. The next prime is 1264261459. The reversal of 1264261440 is 441624621.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1264261398 and 1264261407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12517390 + ... + 12517490.

It is an arithmetic number, because the mean of its divisors is an integer number (10492740).

Almost surely, 2^1264261440 is an apocalyptic number.

1264261440 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 1264261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350373760).

1264261440 is an abundant number, since it is smaller than the sum of its proper divisors (3436486080).

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

1264261440 is a wasteful number, since it uses less digits than its factorization.

1264261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1264261440 is about 35556.4542664198. The cubic root of 1264261440 is about 1081.2985751619.

The spelling of 1264261440 in words is "one billion, two hundred sixty-four million, two hundred sixty-one thousand, four hundred forty".