404300400 has 120 divisors (see below), whose sum is σ = 1480155264. Its totient is φ = 92409600.

The previous prime is 404300383. The next prime is 404300401. The reversal of 404300400 is 4003404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 404300400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404300401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15666 + ... + 32465.

Almost surely, 2^404300400 is an apocalyptic number.

404300400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404300400 is an abundant number, since it is smaller than the sum of its proper divisors (1075854864).

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

404300400 is a wasteful number, since it uses less digits than its factorization.

404300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48159 (or 48148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 404300400 is about 20107.2225829427. Note that the first 3 decimals coincide. The cubic root of 404300400 is about 739.4373614623.

Adding to 404300400 its reverse (4003404), we get a palindrome (408303804).

The spelling of 404300400 in words is "four hundred four million, three hundred thousand, four hundred".