404342400 has 384 divisors, whose sum is σ = 1663464960. Its totient is φ = 83865600.

The previous prime is 404342383. The next prime is 404342413. The reversal of 404342400 is 4243404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738927 + ... + 739473.

It is an arithmetic number, because the mean of its divisors is an integer number (4331940).

Almost surely, 2^404342400 is an apocalyptic number.

404342400 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 404342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831732480).

404342400 is an abundant number, since it is smaller than the sum of its proper divisors (1259122560).

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

404342400 is a wasteful number, since it uses less digits than its factorization.

404342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 404342400 is about 20108.2669566524. The cubic root of 404342400 is about 739.4629656037.

Adding to 404342400 its reverse (4243404), we get a palindrome (408585804).

The spelling of 404342400 in words is "four hundred four million, three hundred forty-two thousand, four hundred".