400216608 has 288 divisors, whose sum is σ = 1340539200. Its totient is φ = 111974400.

The previous prime is 400216561. The next prime is 400216633. The reversal of 400216608 is 806612004.

400216608 is a `hidden beast` number, since 40 + 0 + 2 + 16 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×400216608³ (a number of 27 digits) contains 333 as substring.

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, 3671658 + ... + 3671766.

It is an arithmetic number, because the mean of its divisors is an integer number (4654650).

Almost surely, 2^400216608 is an apocalyptic number.

400216608 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 400216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

400216608 is an abundant number, since it is smaller than the sum of its proper divisors (940322592).

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

400216608 is a wasteful number, since it uses less digits than its factorization.

400216608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400216608 is about 20005.4144670887. The cubic root of 400216608 is about 736.9392741773.

The spelling of 400216608 in words is "four hundred million, two hundred sixteen thousand, six hundred eight".