1264294512 has 240 divisors, whose sum is σ = 3943080960. Its totient is φ = 375777792.

The previous prime is 1264294481. The next prime is 1264294529. The reversal of 1264294512 is 2154924621.

It is a happy number.

1264294512 is a `hidden beast` number, since 1 + 2 + 642 + 9 + 4 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×1264294512² = 3196881226146636288, which contains 22 as substring.

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, 12274653 + ... + 12274755.

It is an arithmetic number, because the mean of its divisors is an integer number (16429504).

Almost surely, 2^1264294512 is an apocalyptic number.

1264294512 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 1264294512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971540480).

1264294512 is an abundant number, since it is smaller than the sum of its proper divisors (2678786448).

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

1264294512 is a wasteful number, since it uses less digits than its factorization.

1264294512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1264294512 is about 35556.9193266233. The cubic root of 1264294512 is about 1081.3080036956.

The spelling of 1264294512 in words is "one billion, two hundred sixty-four million, two hundred ninety-four thousand, five hundred twelve".