1280315520 has 384 divisors, whose sum is σ = 4891985280. Its totient is φ = 308520960.

The previous prime is 1280315507. The next prime is 1280315527. The reversal of 1280315520 is 255130821.

It is a happy number.

1280315520 is a `hidden beast` number, since 1 + 2 + 80 + 31 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1280315527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7666477 + ... + 7666643.

It is an arithmetic number, because the mean of its divisors is an integer number (12739545).

Almost surely, 2^1280315520 is an apocalyptic number.

1280315520 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 1280315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445992640).

1280315520 is an abundant number, since it is smaller than the sum of its proper divisors (3611669760).

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

1280315520 is a wasteful number, since it uses less digits than its factorization.

1280315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1280315520 is about 35781.4968943447. The cubic root of 1280315520 is about 1085.8562531676.

The spelling of 1280315520 in words is "one billion, two hundred eighty million, three hundred fifteen thousand, five hundred twenty".