404202400 has 144 divisors (see below), whose sum is σ = 1141801920. Its totient is φ = 136857600.

The previous prime is 404202389. The next prime is 404202419. The reversal of 404202400 is 4202404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497995 + ... + 498805.

It is an arithmetic number, because the mean of its divisors is an integer number (7929180).

Almost surely, 2^404202400 is an apocalyptic number.

404202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570900960).

404202400 is an abundant number, since it is smaller than the sum of its proper divisors (737599520).

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

404202400 is a wasteful number, since it uses less digits than its factorization.

404202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 404202400 is about 20104.7854999749. The cubic root of 404202400 is about 739.3776115690.

Adding to 404202400 its reverse (4202404), we get a palindrome (408404804).

The spelling of 404202400 in words is "four hundred four million, two hundred two thousand, four hundred".