405332120 has 16 divisors (see below), whose sum is σ = 911997360. Its totient is φ = 162132832.

The previous prime is 405332117. The next prime is 405332143. The reversal of 405332120 is 21233504.

It is a happy number.

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 = 405332092 and 405332101.

It is a congruent number.

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, 5066612 + ... + 5066691.

It is an arithmetic number, because the mean of its divisors is an integer number (56999835).

Almost surely, 2^405332120 is an apocalyptic number.

405332120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405332120 is an abundant number, since it is smaller than the sum of its proper divisors (506665240).

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

405332120 is a wasteful number, since it uses less digits than its factorization.

405332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133314 (or 10133310 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 405332120 is about 20132.8616942550. The cubic root of 405332120 is about 740.0658086105.

Adding to 405332120 its reverse (21233504), we get a palindrome (426565624).

The spelling of 405332120 in words is "four hundred five million, three hundred thirty-two thousand, one hundred twenty".