1203532400 has 120 divisors (see below), whose sum is σ = 3320754720. Its totient is φ = 410618880.

The previous prime is 1203532397. The next prime is 1203532417. The reversal of 1203532400 is 42353021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640262 + ... + 642138.

It is an arithmetic number, because the mean of its divisors is an integer number (27672956).

Almost surely, 2^1203532400 is an apocalyptic number.

1203532400 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 1203532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660377360).

1203532400 is an abundant number, since it is smaller than the sum of its proper divisors (2117222320).

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

1203532400 is a wasteful number, since it uses less digits than its factorization.

1203532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1203532400 is about 34691.9644874717. The cubic root of 1203532400 is about 1063.7002519307.

Adding to 1203532400 its reverse (42353021), we get a palindrome (1245885421).

The spelling of 1203532400 in words is "one billion, two hundred three million, five hundred thirty-two thousand, four hundred".