408967020 has 288 divisors, whose sum is σ = 1629089280. Its totient is φ = 80455680.

The previous prime is 408967003. The next prime is 408967021. The reversal of 408967020 is 20769804.

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 (408967021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262564 + ... + 264116.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2^408967020 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 408967020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814544640).

408967020 is an abundant number, since it is smaller than the sum of its proper divisors (1220122260).

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

408967020 is a wasteful number, since it uses less digits than its factorization.

408967020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 408967020 is about 20222.9330216959. The cubic root of 408967020 is about 742.2714597789.

The spelling of 408967020 in words is "four hundred eight million, nine hundred sixty-seven thousand, twenty".