1281408 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 412160.

The previous prime is 1281407. The next prime is 1281431. The reversal of 1281408 is 8041821.

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

It is a hoax number, since the sum of its digits (24) 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 (24).

1281408 is a modest number, since divided by 1408 gives 128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1281407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18013 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

2^1281408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1281408 is an abundant number, since it is smaller than the sum of its proper divisors (2243712).

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

1281408 is an equidigital number, since it uses as much as digits as its factorization.

1281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1281408 is about 1131.9929328401. The cubic root of 1281408 is about 108.6165015336.

The spelling of 1281408 in words is "one million, two hundred eighty-one thousand, four hundred eight".