401008320 has 252 divisors, whose sum is σ = 1439777664. Its totient is φ = 106375680.

The previous prime is 401008241. The next prime is 401008339. The reversal of 401008320 is 23800104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401008293 and 401008302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099425 + ... + 2099615.

Almost surely, 2^401008320 is an apocalyptic number.

401008320 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 401008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719888832).

401008320 is an abundant number, since it is smaller than the sum of its proper divisors (1038769344).

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

401008320 is an frugal number, since it uses more digits than its factorization.

401008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401008320 is about 20025.1921339097. The cubic root of 401008320 is about 737.4248940082.

Adding to 401008320 its reverse (23800104), we get a palindrome (424808424).

The spelling of 401008320 in words is "four hundred one million, eight thousand, three hundred twenty".