1408960 has 112 divisors (see below), whose sum is σ = 4169664. Its totient is φ = 442368.

The previous prime is 1408889. The next prime is 1408961. The reversal of 1408960 is 698041.

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 (28).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38062 + ... + 38098.

2^1408960 is an apocalyptic number.

1408960 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 1408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084832).

1408960 is an abundant number, since it is smaller than the sum of its proper divisors (2760704).

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

1408960 is a wasteful number, since it uses less digits than its factorization.

1408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1408960 is about 1186.9962089240. The cubic root of 1408960 is about 112.1070405239.

It can be divided in two parts, 140 and 8960, that multiplied together give a square (1254400 = 1120²).

The spelling of 1408960 in words is "one million, four hundred eight thousand, nine hundred sixty".