404493120 has 84 divisors (see below), whose sum is σ = 1391297700. Its totient is φ = 107864064.

The previous prime is 404493107. The next prime is 404493127. The reversal of 404493120 is 21394404.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 259338816 = 12048^2 + 16104^2 .

It is a super-2 number, since 2×404493120² = 327229368254668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404493127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67345 + ... + 73104.

Almost surely, 2^404493120 is an apocalyptic number.

404493120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404493120 is an abundant number, since it is smaller than the sum of its proper divisors (986804580).

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

404493120 is a wasteful number, since it uses less digits than its factorization.

404493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140472 (or 140459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 404493120 is about 20112.0143198040. The cubic root of 404493120 is about 739.5548332988.

The spelling of 404493120 in words is "four hundred four million, four hundred ninety-three thousand, one hundred twenty".