404343400 has 96 divisors (see below), whose sum is σ = 976868280. Its totient is φ = 155520000.

The previous prime is 404343341. The next prime is 404343439. The reversal of 404343400 is 4343404.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 175668516 + 228674884 = 13254^2 + 15122^2 .

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, 747130 + ... + 747670.

Almost surely, 2^404343400 is an apocalyptic number.

404343400 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 404343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488434140).

404343400 is an abundant number, since it is smaller than the sum of its proper divisors (572524880).

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

404343400 is a wasteful number, since it uses less digits than its factorization.

404343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 404343400 is about 20108.2918220320. The cubic root of 404343400 is about 739.4635752045.

Adding to 404343400 its reverse (4343404), we get a palindrome (408686804).

It can be divided in two parts, 40434 and 3400, that added together give a palindrome (43834).

The spelling of 404343400 in words is "four hundred four million, three hundred forty-three thousand, four hundred".