405120331 has 16 divisors (see below), whose sum is σ = 505628928. Its totient is φ = 315338400.

The previous prime is 405120311. The next prime is 405120341. The reversal of 405120331 is 133021504.

It is a cyclic number.

It is not a de Polignac number, because 405120331 - 2¹¹ = 405118283 is a prime.

It is a super-2 number, since 2×405120331² = 328244965179099122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405120299 and 405120308.

It is not an unprimeable number, because it can be changed into a prime (405120311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87921 + ... + 92413.

It is an arithmetic number, because the mean of its divisors is an integer number (31601808).

Almost surely, 2^405120331 is an apocalyptic number.

405120331 is a deficient number, since it is larger than the sum of its proper divisors (100508597).

405120331 is a wasteful number, since it uses less digits than its factorization.

405120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 405120331 is about 20127.6012231960. The cubic root of 405120331 is about 739.9368895533.

Adding to 405120331 its reverse (133021504), we get a palindrome (538141835).

The spelling of 405120331 in words is "four hundred five million, one hundred twenty thousand, three hundred thirty-one".