408021120 has 192 divisors, whose sum is σ = 1517607000. Its totient is φ = 100417536.

The previous prime is 408021079. The next prime is 408021121. The reversal of 408021120 is 21120804.

It can be written as a sum of positive squares in 4 ways, for example, as 162409536 + 245611584 = 12744^2 + 15672^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 408021093 and 408021102.

It is not an unprimeable number, because it can be changed into a prime (408021121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72156 + ... + 77604.

Almost surely, 2^408021120 is an apocalyptic number.

408021120 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 408021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758803500).

408021120 is an abundant number, since it is smaller than the sum of its proper divisors (1109585880).

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

408021120 is a wasteful number, since it uses less digits than its factorization.

408021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 408021120 is about 20199.5326678614. The cubic root of 408021120 is about 741.6987513508.

Adding to 408021120 its reverse (21120804), we get a palindrome (429141924).

It can be divided in two parts, 4080 and 21120, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 408021120 in words is "four hundred eight million, twenty-one thousand, one hundred twenty".