1264205280 has 192 divisors, whose sum is σ = 4514711040. Its totient is φ = 294782976.

The previous prime is 1264205227. The next prime is 1264205311. The reversal of 1264205280 is 825024621.

1264205280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 113229 + ... + 123891.

It is an arithmetic number, because the mean of its divisors is an integer number (23514120).

Almost surely, 2^1264205280 is an apocalyptic number.

1264205280 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 1264205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257355520).

1264205280 is an abundant number, since it is smaller than the sum of its proper divisors (3250505760).

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

1264205280 is a wasteful number, since it uses less digits than its factorization.

1264205280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1264205280 is about 35555.6645276108. The cubic root of 1264205280 is about 1081.2825640676.

The spelling of 1264205280 in words is "one billion, two hundred sixty-four million, two hundred five thousand, two hundred eighty".