1004205600 has 180 divisors, whose sum is σ = 3662378874. Its totient is φ = 267770880.

The previous prime is 1004205563. The next prime is 1004205659. The reversal of 1004205600 is 65024001.

It is a happy number.

1004205600 is a `hidden beast` number, since 100 + 4 + 2 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 951845904 + 52359696 = 30852^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 57052 + ... + 72548.

Almost surely, 2^1004205600 is an apocalyptic number.

1004205600 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 1004205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831189437).

1004205600 is an abundant number, since it is smaller than the sum of its proper divisors (2658173274).

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

1004205600 is a wasteful number, since it uses less digits than its factorization.

1004205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529 (or 15507 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1004205600 is about 31689.2032086640. The cubic root of 1004205600 is about 1001.3999060153.

Adding to 1004205600 its reverse (65024001), we get a palindrome (1069229601).

The spelling of 1004205600 in words is "one billion, four million, two hundred five thousand, six hundred".