1005404400 has 1200 divisors, whose sum is σ = 5001013248. Its totient is φ = 186624000.

The previous prime is 1005404377. The next prime is 1005404423. The reversal of 1005404400 is 44045001.

It is an interprime number because it is at equal distance from previous prime (1005404377) and next prime (1005404423).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32432385 + ... + 32432415.

Almost surely, 2^1005404400 is an apocalyptic number.

1005404400 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 1005404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500506624).

1005404400 is an abundant number, since it is smaller than the sum of its proper divisors (3995608848).

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

1005404400 is a wasteful number, since it uses less digits than its factorization.

1005404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

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

The square root of 1005404400 is about 31708.1125266074. The cubic root of 1005404400 is about 1001.7982310933.

Adding to 1005404400 its reverse (44045001), we get a palindrome (1049449401).

The spelling of 1005404400 in words is "one billion, five million, four hundred four thousand, four hundred".