1000322400 has 288 divisors, whose sum is σ = 4060240128. Its totient is φ = 207820800.

The previous prime is 1000322399. The next prime is 1000322413. The reversal of 1000322400 is 42230001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182094 + ... + 187506.

It is an arithmetic number, because the mean of its divisors is an integer number (14098056).

Almost surely, 2^1000322400 is an apocalyptic number.

1000322400 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 1000322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030120064).

1000322400 is an abundant number, since it is smaller than the sum of its proper divisors (3059917728).

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

1000322400 is a wasteful number, since it uses less digits than its factorization.

1000322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5441 counting only the distinct ones).

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

The square root of 1000322400 is about 31627.8737824723. The cubic root of 1000322400 is about 1000.1074551197.

Adding to 1000322400 its reverse (42230001), we get a palindrome (1042552401).

The spelling of 1000322400 in words is "one billion, three hundred twenty-two thousand, four hundred".