404800840400 has 60 divisors (see below), whose sum is σ = 1060946214144. Its totient is φ = 147200304000.

The previous prime is 404800840393. The next prime is 404800840439. The reversal of 404800840400 is 4048008404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45995696 + ... + 46004495.

Almost surely, 2^404800840400 is an apocalyptic number.

404800840400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404800840400 is an abundant number, since it is smaller than the sum of its proper divisors (656145373744).

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

404800840400 is a wasteful number, since it uses less digits than its factorization.

404800840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92000220 (or 92000209 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 404800840400 its reverse (4048008404), we get a palindrome (408848848804).

404800840400 divided by its reverse (4048008404) gives a square (100 = 10²).

The spelling of 404800840400 in words is "four hundred four billion, eight hundred million, eight hundred forty thousand, four hundred".