1408400 has 60 divisors (see below), whose sum is σ = 3874752. Its totient is φ = 481920.

The previous prime is 1408397. The next prime is 1408409. The reversal of 1408400 is 48041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1408409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2549 + ... + 3051.

2^1408400 is an apocalyptic number.

1408400 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 1408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376).

1408400 is an abundant number, since it is smaller than the sum of its proper divisors (2466352).

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

1408400 is a wasteful number, since it uses less digits than its factorization.

1408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1408400 is about 1186.7602959317. The cubic root of 1408400 is about 112.0921860066.

The spelling of 1408400 in words is "one million, four hundred eight thousand, four hundred".