1378400 has 36 divisors (see below), whose sum is σ = 3366972. Its totient is φ = 551040.

The previous prime is 1378397. The next prime is 1378427. The reversal of 1378400 is 48731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (93527).

2^1378400 is an apocalyptic number.

1378400 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 1378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683486).

1378400 is an abundant number, since it is smaller than the sum of its proper divisors (1988572).

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

1378400 is a wasteful number, since it uses less digits than its factorization.

1378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1378400 is about 1174.0528097151. The cubic root of 1378400 is about 111.2905840233.

The spelling of 1378400 in words is "one million, three hundred seventy-eight thousand, four hundred".