408122120 has 128 divisors (see below), whose sum is σ = 1105920000. Its totient is φ = 132523776.

The previous prime is 408122093. The next prime is 408122131. The reversal of 408122120 is 21221804.

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 = 408122092 and 408122101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817631 + ... + 818129.

It is an arithmetic number, because the mean of its divisors is an integer number (8640000).

Almost surely, 2^408122120 is an apocalyptic number.

408122120 is a gapful number since it is divisible by the number (40) 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 408122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960000).

408122120 is an abundant number, since it is smaller than the sum of its proper divisors (697797880).

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

408122120 is a wasteful number, since it uses less digits than its factorization.

408122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 408122120 is about 20202.0325710063. The cubic root of 408122120 is about 741.7599454002.

Adding to 408122120 its reverse (21221804), we get a palindrome (429343924).

The spelling of 408122120 in words is "four hundred eight million, one hundred twenty-two thousand, one hundred twenty".