404230400 has 162 divisors, whose sum is σ = 1164788730. Its totient is φ = 138485760.

The previous prime is 404230397. The next prime is 404230427. The reversal of 404230400 is 4032404.

It can be written as a sum of positive squares in 3 ways, for example, as 66846976 + 337383424 = 8176^2 + 18368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 312956 + ... + 314244.

Almost surely, 2^404230400 is an apocalyptic number.

404230400 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 404230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582394365).

404230400 is an abundant number, since it is smaller than the sum of its proper divisors (760558330).

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

404230400 is a wasteful number, since it uses less digits than its factorization.

404230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 404230400 is about 20105.4818395382. The cubic root of 404230400 is about 739.3946839525.

Adding to 404230400 its reverse (4032404), we get a palindrome (408262804).

The spelling of 404230400 in words is "four hundred four million, two hundred thirty thousand, four hundred".