400478208 has 208 divisors, whose sum is σ = 1210957440. Its totient is φ = 116785152.

The previous prime is 400478207. The next prime is 400478213. The reversal of 400478208 is 802874004.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400478207) 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 15 ways as a sum of consecutive naturals, for example, 3674058 + ... + 3674166.

Almost surely, 2^400478208 is an apocalyptic number.

400478208 is a gapful number since it is divisible by the number (48) 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 400478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605478720).

400478208 is an abundant number, since it is smaller than the sum of its proper divisors (810479232).

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

400478208 is a wasteful number, since it uses less digits than its factorization.

400478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 400478208 is about 20011.9516289641. The cubic root of 400478208 is about 737.0998050178.

The spelling of 400478208 in words is "four hundred million, four hundred seventy-eight thousand, two hundred eight".