1285263360 has 312 divisors, whose sum is σ = 4702289280. Its totient is φ = 323813376.

The previous prime is 1285263319. The next prime is 1285263377. The reversal of 1285263360 is 633625821.

It is a happy number.

1285263360 is a `hidden beast` number, since 12 + 8 + 5 + 2 + 633 + 6 + 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 Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501897 + ... + 3502263.

It is an arithmetic number, because the mean of its divisors is an integer number (15071440).

Almost surely, 2^1285263360 is an apocalyptic number.

1285263360 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 1285263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351144640).

1285263360 is an abundant number, since it is smaller than the sum of its proper divisors (3417025920).

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

1285263360 is a wasteful number, since it uses less digits than its factorization.

1285263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1285263360 is about 35850.5698699477. The cubic root of 1285263360 is about 1087.2532361238.

The spelling of 1285263360 in words is "one billion, two hundred eighty-five million, two hundred sixty-three thousand, three hundred sixty".