408855132 has 144 divisors (see below), whose sum is σ = 1217099520. Its totient is φ = 113319936.

The previous prime is 408855121. The next prime is 408855193. The reversal of 408855132 is 231558804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590748 + ... + 1591004.

It is an arithmetic number, because the mean of its divisors is an integer number (8452080).

Almost surely, 2^408855132 is an apocalyptic number.

408855132 is a gapful number since it is divisible by the number (42) 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 408855132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608549760).

408855132 is an abundant number, since it is smaller than the sum of its proper divisors (808244388).

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

408855132 is a wasteful number, since it uses less digits than its factorization.

408855132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 408855132 is about 20220.1664681575. The cubic root of 408855132 is about 742.2037617005.

The spelling of 408855132 in words is "four hundred eight million, eight hundred fifty-five thousand, one hundred thirty-two".