404228400 has 60 divisors (see below), whose sum is σ = 1294882152. Its totient is φ = 107793920.

The previous prime is 404228369. The next prime is 404228413. The reversal of 404228400 is 4822404.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167229 + ... + 169628.

Almost surely, 2^404228400 is an apocalyptic number.

404228400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404228400 is an abundant number, since it is smaller than the sum of its proper divisors (890653752).

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

404228400 is a wasteful number, since it uses less digits than its factorization.

404228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336878 (or 336867 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 404228400 is about 20105.4321017978. The cubic root of 404228400 is about 739.3934645226.

The spelling of 404228400 in words is "four hundred four million, two hundred twenty-eight thousand, four hundred".