1204800400 has 30 divisors (see below), whose sum is σ = 2894533922. Its totient is φ = 481920000.

The previous prime is 1204800391. The next prime is 1204800413. The reversal of 1204800400 is 40084021.

It can be written as a sum of positive squares in 3 ways, for example, as 233356176 + 971444224 = 15276^2 + 31168^2 .

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 5 ways as a sum of consecutive naturals, for example, 1505601 + ... + 1506400.

Almost surely, 2^1204800400 is an apocalyptic number.

1204800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1204800400 is an abundant number, since it is smaller than the sum of its proper divisors (1689733522).

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

1204800400 is a wasteful number, since it uses less digits than its factorization.

1204800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012019 (or 3012008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1204800400 is about 34710.2348018564. The cubic root of 1204800400 is about 1064.0736800504.

Adding to 1204800400 its reverse (40084021), we get a palindrome (1244884421).

The spelling of 1204800400 in words is "one billion, two hundred four million, eight hundred thousand, four hundred".