1288456416 has 96 divisors (see below), whose sum is σ = 4047109920. Its totient is φ = 396444672.

The previous prime is 1288456381. The next prime is 1288456417. The reversal of 1288456416 is 6146548821.

It is a happy number.

1288456416 is a `hidden beast` number, since 1 + 2 + 8 + 84 + 564 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288456417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46125 + ... + 68588.

It is an arithmetic number, because the mean of its divisors is an integer number (42157395).

Almost surely, 2^1288456416 is an apocalyptic number.

1288456416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1288456416 is an abundant number, since it is smaller than the sum of its proper divisors (2758653504).

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

1288456416 is a wasteful number, since it uses less digits than its factorization.

1288456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114745 (or 114731 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1288456416 is about 35895.0750939457. The cubic root of 1288456416 is about 1088.1528674336.

The spelling of 1288456416 in words is "one billion, two hundred eighty-eight million, four hundred fifty-six thousand, four hundred sixteen".