401008608 has 432 divisors, whose sum is σ = 1553924736. Its totient is φ = 95247360.

The previous prime is 401008603. The next prime is 401008609. The reversal of 401008608 is 806800104.

401008608 is a `hidden beast` number, since 40 + 10 + 0 + 8 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401008603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3747691 + ... + 3747797.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^401008608 is an apocalyptic number.

401008608 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 401008608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776962368).

401008608 is an abundant number, since it is smaller than the sum of its proper divisors (1152916128).

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

401008608 is a wasteful number, since it uses less digits than its factorization.

401008608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 401008608 is about 20025.1993248507. The cubic root of 401008608 is about 737.4250705451.

The spelling of 401008608 in words is "four hundred one million, eight thousand, six hundred eight".