404402880 has 168 divisors, whose sum is σ = 1493782128. Its totient is φ = 92424192.

The previous prime is 404402863. The next prime is 404402881. The reversal of 404402880 is 88204404.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (404402881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42742 + ... + 51338.

Almost surely, 2^404402880 is an apocalyptic number.

404402880 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 404402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746891064).

404402880 is an abundant number, since it is smaller than the sum of its proper divisors (1089379248).

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

404402880 is a wasteful number, since it uses less digits than its factorization.

404402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 404402880 is about 20109.7707595089. The cubic root of 404402880 is about 739.4998324526.

The spelling of 404402880 in words is "four hundred four million, four hundred two thousand, eight hundred eighty".