404860680 has 160 divisors (see below), whose sum is σ = 1555266240. Its totient is φ = 92534400.

The previous prime is 404860667. The next prime is 404860711. The reversal of 404860680 is 86068404.

404860680 is a `hidden beast` number, since 4 + 0 + 48 + 606 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13755 + ... + 31605.

It is an arithmetic number, because the mean of its divisors is an integer number (9720414).

Almost surely, 2^404860680 is an apocalyptic number.

404860680 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 404860680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777633120).

404860680 is an abundant number, since it is smaller than the sum of its proper divisors (1150405560).

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

404860680 is a wasteful number, since it uses less digits than its factorization.

404860680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17881 (or 17868 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 404860680 is about 20121.1500665345. The cubic root of 404860680 is about 739.7787748739.

The spelling of 404860680 in words is "four hundred four million, eight hundred sixty thousand, six hundred eighty".