1032800496 has 320 divisors, whose sum is σ = 3453112320. Its totient is φ = 258785280.

The previous prime is 1032800491. The next prime is 1032800521. The reversal of 1032800496 is 6940082301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032800491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13073385 + ... + 13073463.

It is an arithmetic number, because the mean of its divisors is an integer number (10790976).

Almost surely, 2^1032800496 is an apocalyptic number.

1032800496 is a gapful number since it is divisible by the number (16) 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 1032800496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726556160).

1032800496 is an abundant number, since it is smaller than the sum of its proper divisors (2420311824).

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

1032800496 is a wasteful number, since it uses less digits than its factorization.

1032800496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1032800496 is about 32137.2135693187. The cubic root of 1032800496 is about 1010.8160890998.

Adding to 1032800496 its reverse (6940082301), we get a palindrome (7972882797).

The spelling of 1032800496 in words is "one billion, thirty-two million, eight hundred thousand, four hundred ninety-six".