1264460000 has 120 divisors (see below), whose sum is σ = 3294632880. Its totient is φ = 475904000.

The previous prime is 1264459997. The next prime is 1264460009. The reversal of 1264460000 is 644621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264460009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 338141 + ... + 341859.

It is an arithmetic number, because the mean of its divisors is an integer number (27455274).

Almost surely, 2^1264460000 is an apocalyptic number.

1264460000 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 1264460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647316440).

1264460000 is an abundant number, since it is smaller than the sum of its proper divisors (2030172880).

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

1264460000 is an equidigital number, since it uses as much as digits as its factorization.

1264460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1264460000 is about 35559.2463362203. The cubic root of 1264460000 is about 1081.3551803859.

The spelling of 1264460000 in words is "one billion, two hundred sixty-four million, four hundred sixty thousand".