1032650400 has 144 divisors (see below), whose sum is σ = 3371596704. Its totient is φ = 274529280.

The previous prime is 1032650383. The next prime is 1032650401. The reversal of 1032650400 is 40562301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1032650401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408434 + ... + 1409166.

It is an arithmetic number, because the mean of its divisors is an integer number (23413866).

Almost surely, 2^1032650400 is an apocalyptic number.

1032650400 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 1032650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685798352).

1032650400 is an abundant number, since it is smaller than the sum of its proper divisors (2338946304).

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

1032650400 is a wasteful number, since it uses less digits than its factorization.

1032650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1032650400 is about 32134.8782477855. The cubic root of 1032650400 is about 1010.7671197191.

It can be divided in two parts, 10326 and 50400, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 1032650400 in words is "one billion, thirty-two million, six hundred fifty thousand, four hundred".