1232400 has 120 divisors (see below), whose sum is σ = 4305280. Its totient is φ = 299520.

The previous prime is 1232393. The next prime is 1232401. The reversal of 1232400 is 42321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232401) 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, 15561 + ... + 15639.

2^1232400 is an apocalyptic number.

1232400 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 1232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152640).

1232400 is an abundant number, since it is smaller than the sum of its proper divisors (3072880).

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

1232400 is a wasteful number, since it uses less digits than its factorization.

1232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1232400 is about 1110.1351269102. The cubic root of 1232400 is about 107.2137689302.

Adding to 1232400 its reverse (42321), we get a palindrome (1274721).

The spelling of 1232400 in words is "one million, two hundred thirty-two thousand, four hundred".