400300208 has 160 divisors (see below), whose sum is σ = 1041600000. Its totient is φ = 147329280.

The previous prime is 400300193. The next prime is 400300213. The reversal of 400300208 is 802003004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146818 + ... + 1147166.

It is an arithmetic number, because the mean of its divisors is an integer number (6510000).

Almost surely, 2^400300208 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 400300208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800000).

400300208 is an abundant number, since it is smaller than the sum of its proper divisors (641299792).

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

400300208 is a wasteful number, since it uses less digits than its factorization.

400300208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 400300208 is about 20007.5037923275. The cubic root of 400300208 is about 736.9905829210.

The spelling of 400300208 in words is "four hundred million, three hundred thousand, two hundred eight".