404792682 has 64 divisors (see below), whose sum is σ = 986419200. Its totient is φ = 108164160.

The previous prime is 404792657. The next prime is 404792783. The reversal of 404792682 is 286297404.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 59832 + ... + 66252.

It is an arithmetic number, because the mean of its divisors is an integer number (15412800).

Almost surely, 2^404792682 is an apocalyptic number.

404792682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404792682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493209600).

404792682 is an abundant number, since it is smaller than the sum of its proper divisors (581626518).

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

404792682 is a wasteful number, since it uses less digits than its factorization.

404792682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 404792682 is about 20119.4602810314. The cubic root of 404792682 is about 739.7373562690.

The spelling of 404792682 in words is "four hundred four million, seven hundred ninety-two thousand, six hundred eighty-two".