1353408 has 112 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 359424.

The previous prime is 1353397. The next prime is 1353433. The reversal of 1353408 is 8043531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25510 + ... + 25562.

2^1353408 is an apocalyptic number.

1353408 is the 672-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1353408 is an abundant number, since it is smaller than the sum of its proper divisors (3035712).

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

1353408 is a wasteful number, since it uses less digits than its factorization.

1353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1353408 is about 1163.3606491540. The cubic root of 1353408 is about 110.6138681384.

Adding to 1353408 its reverse (8043531), we get a palindrome (9396939).

The spelling of 1353408 in words is "one million, three hundred fifty-three thousand, four hundred eight".