1264849152 has 432 divisors, whose sum is σ = 4334097600. Its totient is φ = 325140480.

The previous prime is 1264849151. The next prime is 1264849169. The reversal of 1264849152 is 2519484621.

It is a super-3 number, since 3×1264849152³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264849151) 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, 20735202 + ... + 20735262.

Almost surely, 2^1264849152 is an apocalyptic number.

1264849152 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 1264849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167048800).

1264849152 is an abundant number, since it is smaller than the sum of its proper divisors (3069248448).

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

1264849152 is a wasteful number, since it uses less digits than its factorization.

1264849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1264849152 is about 35564.7177972777. The cubic root of 1264849152 is about 1081.4661021413.

The spelling of 1264849152 in words is "one billion, two hundred sixty-four million, eight hundred forty-nine thousand, one hundred fifty-two".