408867900 has 144 divisors (see below), whose sum is σ = 1364745984. Its totient is φ = 92574720.

The previous prime is 408867889. The next prime is 408867911. The reversal of 408867900 is 9768804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408867889) and next prime (408867911).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 236439 + ... + 238161.

Almost surely, 2^408867900 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 408867900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682372992).

408867900 is an abundant number, since it is smaller than the sum of its proper divisors (955878084).

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

408867900 is a wasteful number, since it uses less digits than its factorization.

408867900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 408867900 is about 20220.4821900963. The cubic root of 408867900 is about 742.2114876310.

The spelling of 408867900 in words is "four hundred eight million, eight hundred sixty-seven thousand, nine hundred".