1032312400 has 180 divisors, whose sum is σ = 2979868800. Its totient is φ = 342316800.

The previous prime is 1032312397. The next prime is 1032312409. The reversal of 1032312400 is 42132301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032312409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606751 + ... + 608449.

Almost surely, 2^1032312400 is an apocalyptic number.

1032312400 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 1032312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489934400).

1032312400 is an abundant number, since it is smaller than the sum of its proper divisors (1947556400).

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

1032312400 is a wasteful number, since it uses less digits than its factorization.

1032312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1032312400 is about 32129.6187341213. The cubic root of 1032312400 is about 1010.6568285797.

Adding to 1032312400 its reverse (42132301), we get a palindrome (1074444701).

The spelling of 1032312400 in words is "one billion, thirty-two million, three hundred twelve thousand, four hundred".