404280768 has 56 divisors (see below), whose sum is σ = 1080097408. Its totient is φ = 133445376.

The previous prime is 404280763. The next prime is 404280823. The reversal of 404280768 is 867082404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404280763) 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 7 ways as a sum of consecutive naturals, for example, 9555 + ... + 29997.

Almost surely, 2^404280768 is an apocalyptic number.

404280768 is a gapful number since it is divisible by the number (48) 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 404280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540048704).

404280768 is an abundant number, since it is smaller than the sum of its proper divisors (675816640).

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

404280768 is a wasteful number, since it uses less digits than its factorization.

404280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20561 (or 20551 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 404280768 is about 20106.7343942272. The cubic root of 404280768 is about 739.4253927469.

The spelling of 404280768 in words is "four hundred four million, two hundred eighty thousand, seven hundred sixty-eight".