1221408 has 36 divisors (see below), whose sum is σ = 3474198. Its totient is φ = 407040.

The previous prime is 1221391. The next prime is 1221421. The reversal of 1221408 is 8041221.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 535824 = 828^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1833 + ... + 2408.

2^1221408 is an apocalyptic number.

1221408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1221408 is an abundant number, since it is smaller than the sum of its proper divisors (2252790).

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

1221408 is a wasteful number, since it uses less digits than its factorization.

1221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1221408 is about 1105.1732895795. The cubic root of 1221408 is about 106.8940634918.

Adding to 1221408 its reverse (8041221), we get a palindrome (9262629).

The spelling of 1221408 in words is "one million, two hundred twenty-one thousand, four hundred eight".