1408320 has 112 divisors (see below), whose sum is σ = 4998720. Its totient is φ = 373248.

The previous prime is 1408301. The next prime is 1408339. The reversal of 1408320 is 238041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1408301) and next prime (1408339).

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1408293 and 1408302.

It is a congruent number.

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, 8559 + ... + 8721.

2^1408320 is an apocalyptic number.

1408320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499360).

1408320 is an abundant number, since it is smaller than the sum of its proper divisors (3590400).

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

1408320 is a wasteful number, since it uses less digits than its factorization.

1408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1408320 is about 1186.7265902473. The cubic root of 1408320 is about 112.0900636113.

It can be divided in two parts, 1408 and 320, that added together give a cube (1728 = 12³).

The spelling of 1408320 in words is "one million, four hundred eight thousand, three hundred twenty".