404134400 has 60 divisors (see below), whose sum is σ = 1001306262. Its totient is φ = 161648640.

The previous prime is 404134373. The next prime is 404134411. The reversal of 404134400 is 4431404.

It can be written as a sum of positive squares in 3 ways, for example, as 288184576 + 115949824 = 16976^2 + 10768^2 .

It is a super-2 number, since 2×404134400² = 326649226526720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2987 + ... + 28586.

Almost surely, 2^404134400 is an apocalyptic number.

404134400 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 404134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500653131).

404134400 is an abundant number, since it is smaller than the sum of its proper divisors (597171862).

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

404134400 is an equidigital number, since it uses as much as digits as its factorization.

404134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601 (or 31580 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 404134400 is about 20103.0942891884. The cubic root of 404134400 is about 739.3361467836.

Adding to 404134400 its reverse (4431404), we get a palindrome (408565804).

The spelling of 404134400 in words is "four hundred four million, one hundred thirty-four thousand, four hundred".