404995200 has 96 divisors (see below), whose sum is σ = 1333984560. Its totient is φ = 107996160.

The previous prime is 404995189. The next prime is 404995211. The reversal of 404995200 is 2599404.

It is an interprime number because it is at equal distance from previous prime (404995189) and next prime (404995211).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×404995200² = 328042224046080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11494 + ... + 30693.

Almost surely, 2^404995200 is an apocalyptic number.

404995200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404995200 is an abundant number, since it is smaller than the sum of its proper divisors (928989360).

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

404995200 is a wasteful number, since it uses less digits than its factorization.

404995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42214 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 404995200 is about 20124.4925401860. The cubic root of 404995200 is about 739.8606993696.

The spelling of 404995200 in words is "four hundred four million, nine hundred ninety-five thousand, two hundred".