404239680 has 448 divisors, whose sum is σ = 1587398400. Its totient is φ = 96215040.

The previous prime is 404239657. The next prime is 404239681. The reversal of 404239680 is 86932404.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404239681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626850 + ... + 6626910.

It is an arithmetic number, because the mean of its divisors is an integer number (3543300).

Almost surely, 2^404239680 is an apocalyptic number.

404239680 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 404239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

404239680 is an abundant number, since it is smaller than the sum of its proper divisors (1183158720).

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

404239680 is a wasteful number, since it uses less digits than its factorization.

404239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404239680 is about 20105.7126210438. The cubic root of 404239680 is about 739.4003420542.

The spelling of 404239680 in words is "four hundred four million, two hundred thirty-nine thousand, six hundred eighty".