404606400 has 336 divisors, whose sum is σ = 1481571840. Its totient is φ = 95846400.

The previous prime is 404606383. The next prime is 404606407. The reversal of 404606400 is 4606404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404606407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4171152 + ... + 4171248.

It is an arithmetic number, because the mean of its divisors is an integer number (4409440).

Almost surely, 2^404606400 is an apocalyptic number.

404606400 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 404606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740785920).

404606400 is an abundant number, since it is smaller than the sum of its proper divisors (1076965440).

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

404606400 is a wasteful number, since it uses less digits than its factorization.

404606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 404606400 is about 20114.8303497693. The cubic root of 404606400 is about 739.6238653358.

The spelling of 404606400 in words is "four hundred four million, six hundred six thousand, four hundred".