1201408 has 54 divisors (see below), whose sum is σ = 2725674. Its totient is φ = 525312.

The previous prime is 1201381. The next prime is 1201439. The reversal of 1201408 is 8041021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 369664 = 912^2 + 608^2 .

It is a super-4 number, since 4×1201408⁴ (a number of 25 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (16) 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 1201391 and 1201400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63223 + ... + 63241.

2^1201408 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 1201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362837).

1201408 is an abundant number, since it is smaller than the sum of its proper divisors (1524266).

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

1201408 is an equidigital number, since it uses as much as digits as its factorization.

1201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1201408 is about 1096.0875877411. The cubic root of 1201408 is about 106.3074024310.

Adding to 1201408 its reverse (8041021), we get a palindrome (9242429).

The spelling of 1201408 in words is "one million, two hundred one thousand, four hundred eight".