1282314240 has 260 divisors, whose sum is σ = 4602719484. Its totient is φ = 341508096.

The previous prime is 1282314203. The next prime is 1282314247. The reversal of 1282314240 is 424132821.

1282314240 is a `hidden beast` number, since 1 + 2 + 8 + 231 + 424 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241864704 + 1040449536 = 15552^2 + 32256^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282314247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658494 + ... + 1659266.

Almost surely, 2^1282314240 is an apocalyptic number.

1282314240 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 1282314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301359742).

1282314240 is an abundant number, since it is smaller than the sum of its proper divisors (3320405244).

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

1282314240 is an frugal number, since it uses more digits than its factorization.

1282314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1282314240 is about 35809.4155216195. The cubic root of 1282314240 is about 1086.4210082821.

The spelling of 1282314240 in words is "one billion, two hundred eighty-two million, three hundred fourteen thousand, two hundred forty".