1238400 has 144 divisors (see below), whose sum is σ = 4521660. Its totient is φ = 322560.

The previous prime is 1238383. The next prime is 1238407. The reversal of 1238400 is 48321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28779 + ... + 28821.

2^1238400 is an apocalyptic number.

1238400 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 1238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260830).

1238400 is an abundant number, since it is smaller than the sum of its proper divisors (3283260).

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

1238400 is a wasteful number, since it uses less digits than its factorization.

1238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1238400 is about 1112.8342194595. The cubic root of 1238400 is about 107.3874791641.

The spelling of 1238400 in words is "one million, two hundred thirty-eight thousand, four hundred".