1378440 has 96 divisors (see below), whose sum is σ = 5129280. Its totient is φ = 314496.

The previous prime is 1378439. The next prime is 1378441. The reversal of 1378440 is 448731.

It is an interprime number because it is at equal distance from previous prime (1378439) and next prime (1378441).

It is not an unprimeable number, because it can be changed into a prime (1378441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (53430).

2^1378440 is an apocalyptic number.

1378440 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 1378440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564640).

1378440 is an abundant number, since it is smaller than the sum of its proper divisors (3750840).

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

1378440 is a wasteful number, since it uses less digits than its factorization.

1378440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1378440 is about 1174.0698446004. The cubic root of 1378440 is about 111.2916605323.

It can be divided in two parts, 13784 and 40, that added together give a cube (13824 = 24³).

The spelling of 1378440 in words is "one million, three hundred seventy-eight thousand, four hundred forty".