1004322400 has 72 divisors (see below), whose sum is σ = 2456186544. Its totient is φ = 401011200.

The previous prime is 1004322359. The next prime is 1004322421. The reversal of 1004322400 is 42234001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849810 + ... + 850990.

It is an arithmetic number, because the mean of its divisors is an integer number (34113702).

Almost surely, 2^1004322400 is an apocalyptic number.

1004322400 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 1004322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228093272).

1004322400 is an abundant number, since it is smaller than the sum of its proper divisors (1451864144).

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

1004322400 is a wasteful number, since it uses less digits than its factorization.

1004322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1004322400 is about 31691.0460540513. The cubic root of 1004322400 is about 1001.4387290660.

Adding to 1004322400 its reverse (42234001), we get a palindrome (1046556401).

The spelling of 1004322400 in words is "one billion, four million, three hundred twenty-two thousand, four hundred".