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BaseRepresentation
bin10110000000
31221011
4112000
521113
610304
74051
oct2600
91834
101408
111070
12994
13844
14728
1563d
hex580

1408 has 16 divisors (see below), whose sum is σ = 3060. Its totient is φ = 640.

The previous prime is 1399. The next prime is 1409. The reversal of 1408 is 8041.

1408 divided by its product of nonzero digits (32) gives a palindrome (44).

Adding to 1408 its reverse (8041), we get a palindrome (9449).

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123 + ... + 133.

1408 is the 22-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530).

1408 is an abundant number, since it is smaller than the sum of its proper divisors (1652).

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

1408 is an equidigital number, since it uses as much as digits as its factorization.

1408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1408 is about 37.5233260786. The cubic root of 1408 is about 11.2081573226.

The spelling of 1408 in words is "one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408