1284464256 has 64 divisors (see below), whose sum is σ = 3560224320. Its totient is φ = 409536512.

The previous prime is 1284464243. The next prime is 1284464263. The reversal of 1284464256 is 6524644821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63885 + ... + 81548.

It is an arithmetic number, because the mean of its divisors is an integer number (55628505).

Almost surely, 2^1284464256 is an apocalyptic number.

1284464256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1284464256 is an abundant number, since it is smaller than the sum of its proper divisors (2275760064).

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

1284464256 is a wasteful number, since it uses less digits than its factorization.

1284464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145473 (or 145461 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 1284464256 is about 35839.4232096444. The cubic root of 1284464256 is about 1087.0278585703.

The spelling of 1284464256 in words is "one billion, two hundred eighty-four million, four hundred sixty-four thousand, two hundred fifty-six".