401501320 has 64 divisors (see below), whose sum is σ = 1008469440. Its totient is φ = 142598400.

The previous prime is 401501297. The next prime is 401501381. The reversal of 401501320 is 23105104.

It is a super-2 number, since 2×401501320² = 322406619923484800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401501294 and 401501303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8310 + ... + 29530.

It is an arithmetic number, because the mean of its divisors is an integer number (15757335).

Almost surely, 2^401501320 is an apocalyptic number.

401501320 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 401501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504234720).

401501320 is an abundant number, since it is smaller than the sum of its proper divisors (606968120).

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

401501320 is a wasteful number, since it uses less digits than its factorization.

401501320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21286 (or 21282 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 401501320 is about 20037.4978477853. The cubic root of 401501320 is about 737.7269672015.

Adding to 401501320 its reverse (23105104), we get a palindrome (424606424).

The spelling of 401501320 in words is "four hundred one million, five hundred one thousand, three hundred twenty".