408950000 has 60 divisors (see below), whose sum is σ = 990483480. Its totient is φ = 163560000.

The previous prime is 408949991. The next prime is 408950021. The reversal of 408950000 is 59804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45911 + ... + 54089.

It is an arithmetic number, because the mean of its divisors is an integer number (16508058).

Almost surely, 2^408950000 is an apocalyptic number.

408950000 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 408950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495241740).

408950000 is an abundant number, since it is smaller than the sum of its proper divisors (581533480).

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

408950000 is an frugal number, since it uses more digits than its factorization.

408950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 408950000 is about 20222.5122079330. The cubic root of 408950000 is about 742.2611625871.

The spelling of 408950000 in words is "four hundred eight million, nine hundred fifty thousand".