404121600 has 216 divisors, whose sum is σ = 1448950230. Its totient is φ = 107642880.

The previous prime is 404121589. The next prime is 404121607. The reversal of 404121600 is 6121404.

404121600 is a `hidden beast` number, since 4 + 0 + 41 + 21 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 357663744 + 46457856 = 18912^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404121607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460362 + ... + 461238.

Almost surely, 2^404121600 is an apocalyptic number.

404121600 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 404121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724475115).

404121600 is an abundant number, since it is smaller than the sum of its proper divisors (1044828630).

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

404121600 is a wasteful number, since it uses less digits than its factorization.

404121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 404121600 is about 20102.7759277170. The cubic root of 404121600 is about 739.3283411274.

The spelling of 404121600 in words is "four hundred four million, one hundred twenty-one thousand, six hundred".