1004450400 has 216 divisors, whose sum is σ = 3601581984. Its totient is φ = 263347200.

The previous prime is 1004450387. The next prime is 1004450407. The reversal of 1004450400 is 40544001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004450407) 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 35 ways as a sum of consecutive naturals, for example, 438057 + ... + 440343.

Almost surely, 2^1004450400 is an apocalyptic number.

1004450400 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 1004450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800790992).

1004450400 is an abundant number, since it is smaller than the sum of its proper divisors (2597131584).

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

1004450400 is a wasteful number, since it uses less digits than its factorization.

1004450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1004450400 is about 31693.0654875795. The cubic root of 1004450400 is about 1001.4812714183.

Adding to 1004450400 its reverse (40544001), we get a palindrome (1044994401).

The spelling of 1004450400 in words is "one billion, four million, four hundred fifty thousand, four hundred".