1264940352 has 336 divisors, whose sum is σ = 4360224960. Its totient is φ = 346374144.

The previous prime is 1264940351. The next prime is 1264940377. The reversal of 1264940352 is 2530494621.

It is a happy number.

1264940352 is a `hidden beast` number, since 1 + 2 + 649 + 4 + 0 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264940351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418363 + ... + 2418885.

It is an arithmetic number, because the mean of its divisors is an integer number (12976860).

Almost surely, 2^1264940352 is an apocalyptic number.

1264940352 is a gapful number since it is divisible by the number (12) 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 1264940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180112480).

1264940352 is an abundant number, since it is smaller than the sum of its proper divisors (3095284608).

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

1264940352 is a wasteful number, since it uses less digits than its factorization.

1264940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1264940352 is about 35565.9999437665. Note that the first 4 decimals coincide. The cubic root of 1264940352 is about 1081.4920939992.

The spelling of 1264940352 in words is "one billion, two hundred sixty-four million, nine hundred forty thousand, three hundred fifty-two".