1438400 has 84 divisors (see below), whose sum is σ = 3779520. Its totient is φ = 537600.

The previous prime is 1438399. The next prime is 1438417. The reversal of 1438400 is 48341.

1438400 = T₂₈₉ + T₂₉₀ + ... + T₃₁₉.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46385 + ... + 46415.

2^1438400 is an apocalyptic number.

1438400 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 1438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

1438400 is an abundant number, since it is smaller than the sum of its proper divisors (2341120).

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

1438400 is a wasteful number, since it uses less digits than its factorization.

1438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1438400 is about 1199.3331480452. Note that the first 3 decimals coincide. The cubic root of 1438400 is about 112.8824841423.

The spelling of 1438400 in words is "one million, four hundred thirty-eight thousand, four hundred".