1282264830 has 432 divisors, whose sum is σ = 4470364080. Its totient is φ = 263450880.

The previous prime is 1282264777. The next prime is 1282264843. The reversal of 1282264830 is 384622821.

1282264830 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 2 + 648 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14407426 + ... + 14407514.

It is an arithmetic number, because the mean of its divisors is an integer number (10348065).

Almost surely, 2^1282264830 is an apocalyptic number.

1282264830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282264830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235182040).

1282264830 is an abundant number, since it is smaller than the sum of its proper divisors (3188099250).

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

1282264830 is a wasteful number, since it uses less digits than its factorization.

1282264830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1282264830 is about 35808.7256126213. The cubic root of 1282264830 is about 1086.4070541488.

The spelling of 1282264830 in words is "one billion, two hundred eighty-two million, two hundred sixty-four thousand, eight hundred thirty".