404962080 has 96 divisors (see below), whose sum is σ = 1279152000. Its totient is φ = 107692032.

The previous prime is 404962079. The next prime is 404962087. The reversal of 404962080 is 80269404.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (404962087) 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 15 ways as a sum of consecutive naturals, for example, 214581 + ... + 216459.

It is an arithmetic number, because the mean of its divisors is an integer number (13324500).

Almost surely, 2^404962080 is an apocalyptic number.

404962080 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 404962080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639576000).

404962080 is an abundant number, since it is smaller than the sum of its proper divisors (874189920).

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

404962080 is a wasteful number, since it uses less digits than its factorization.

404962080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 404962080 is about 20123.6696454697. The cubic root of 404962080 is about 739.8405305261.

The spelling of 404962080 in words is "four hundred four million, nine hundred sixty-two thousand, eighty".