408475116 has 192 divisors, whose sum is σ = 1317657600. Its totient is φ = 106748928.

The previous prime is 408475069. The next prime is 408475117. The reversal of 408475116 is 611574804.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (408475117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475095 + ... + 475953.

It is an arithmetic number, because the mean of its divisors is an integer number (6862800).

Almost surely, 2^408475116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408475116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658828800).

408475116 is an abundant number, since it is smaller than the sum of its proper divisors (909182484).

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

408475116 is a wasteful number, since it uses less digits than its factorization.

408475116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 408475116 is about 20210.7673283327. The cubic root of 408475116 is about 741.9737399376.

The spelling of 408475116 in words is "four hundred eight million, four hundred seventy-five thousand, one hundred sixteen".