404333120 has 28 divisors (see below), whose sum is σ = 962819004. Its totient is φ = 161733120.

The previous prime is 404333113. The next prime is 404333147. The reversal of 404333120 is 21333404.

It can be written as a sum of positive squares in 2 ways, for example, as 239878144 + 164454976 = 15488^2 + 12824^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404333092 and 404333101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631451 + ... + 632090.

It is an arithmetic number, because the mean of its divisors is an integer number (34386393).

Almost surely, 2^404333120 is an apocalyptic number.

404333120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404333120 is an abundant number, since it is smaller than the sum of its proper divisors (558485884).

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

404333120 is a wasteful number, since it uses less digits than its factorization.

404333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263558 (or 1263548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 404333120 is about 20108.0362044631. The cubic root of 404333120 is about 739.4573084603.

Adding to 404333120 its reverse (21333404), we get a palindrome (425666524).

The spelling of 404333120 in words is "four hundred four million, three hundred thirty-three thousand, one hundred twenty".