1408920 has 64 divisors (see below), whose sum is σ = 4320000. Its totient is φ = 367488.

The previous prime is 1408889. The next prime is 1408961. The reversal of 1408920 is 298041.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6981 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (67500).

2^1408920 is an apocalyptic number.

1408920 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 1408920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160000).

1408920 is an abundant number, since it is smaller than the sum of its proper divisors (2911080).

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

1408920 is a wasteful number, since it uses less digits than its factorization.

1408920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1408920 is about 1186.9793595510. The cubic root of 1408920 is about 112.1059796175.

The spelling of 1408920 in words is "one million, four hundred eight thousand, nine hundred twenty".