1285463520 has 480 divisors, whose sum is σ = 5058256896. Its totient is φ = 304819200.

The previous prime is 1285463519. The next prime is 1285463533. The reversal of 1285463520 is 253645821.

1285463520 is a `hidden beast` number, since 1 + 28 + 54 + 63 + 520 = 666.

1285463520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1285463520² = 3304832922501580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10121697 + ... + 10121823.

Almost surely, 2^1285463520 is an apocalyptic number.

1285463520 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 1285463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529128448).

1285463520 is an abundant number, since it is smaller than the sum of its proper divisors (3772793376).

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

1285463520 is a wasteful number, since it uses less digits than its factorization.

1285463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1285463520 is about 35853.3613486937. The cubic root of 1285463520 is about 1087.3096741837.

The spelling of 1285463520 in words is "one billion, two hundred eighty-five million, four hundred sixty-three thousand, five hundred twenty".