404721680 has 80 divisors (see below), whose sum is σ = 1061985600. Its totient is φ = 142087680.

The previous prime is 404721677. The next prime is 404721683. The reversal of 404721680 is 86127404.

404721680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (404721677) and next prime (404721683).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (404721683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17591 + ... + 33449.

It is an arithmetic number, because the mean of its divisors is an integer number (13274820).

Almost surely, 2^404721680 is an apocalyptic number.

404721680 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 404721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530992800).

404721680 is an abundant number, since it is smaller than the sum of its proper divisors (657263920).

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

404721680 is a wasteful number, since it uses less digits than its factorization.

404721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15912 (or 15906 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 404721680 is about 20117.6956930957. The cubic root of 404721680 is about 739.6941029319.

The spelling of 404721680 in words is "four hundred four million, seven hundred twenty-one thousand, six hundred eighty".