1264849300 has 288 divisors, whose sum is σ = 3522524544. Its totient is φ = 390297600.

The previous prime is 1264849291. The next prime is 1264849393. The reversal of 1264849300 is 39484621.

It is a self number, because there is not a number n which added to its sum of digits gives 1264849300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29415079 + ... + 29415121.

It is an arithmetic number, because the mean of its divisors is an integer number (12230988).

Almost surely, 2^1264849300 is an apocalyptic number.

1264849300 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 1264849300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761262272).

1264849300 is an abundant number, since it is smaller than the sum of its proper divisors (2257675244).

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

1264849300 is a wasteful number, since it uses less digits than its factorization.

1264849300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1264849300 is about 35564.7198779914. The cubic root of 1264849300 is about 1081.4661443221.

The spelling of 1264849300 in words is "one billion, two hundred sixty-four million, eight hundred forty-nine thousand, three hundred".