1285364460 has 192 divisors, whose sum is σ = 3843883008. Its totient is φ = 320495616.

The previous prime is 1285364447. The next prime is 1285364519. The reversal of 1285364460 is 644635821.

1285364460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10120917 + ... + 10121043.

It is an arithmetic number, because the mean of its divisors is an integer number (20020224).

Almost surely, 2^1285364460 is an apocalyptic number.

1285364460 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 1285364460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921941504).

1285364460 is an abundant number, since it is smaller than the sum of its proper divisors (2558518548).

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

1285364460 is a wasteful number, since it uses less digits than its factorization.

1285364460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1285364460 is about 35851.9798616478. The cubic root of 1285364460 is about 1087.2817434901.

The spelling of 1285364460 in words is "one billion, two hundred eighty-five million, three hundred sixty-four thousand, four hundred sixty".