1264383360 has 384 divisors, whose sum is σ = 4615752960. Its totient is φ = 318504960.

The previous prime is 1264383349. The next prime is 1264383371. The reversal of 1264383360 is 633834621.

1264383360 is a `hidden beast` number, since 1 + 2 + 643 + 8 + 3 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1264383349) and next prime (1264383371).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13034832 + ... + 13034928.

It is an arithmetic number, because the mean of its divisors is an integer number (12020190).

Almost surely, 2^1264383360 is an apocalyptic number.

1264383360 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 1264383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307876480).

1264383360 is an abundant number, since it is smaller than the sum of its proper divisors (3351369600).

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

1264383360 is a wasteful number, since it uses less digits than its factorization.

1264383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1264383360 is about 35558.1686817530. The cubic root of 1264383360 is about 1081.3333326576. Note that the first 5 decimals are identical.

The spelling of 1264383360 in words is "one billion, two hundred sixty-four million, three hundred eighty-three thousand, three hundred sixty".