401311064 has 64 divisors (see below), whose sum is σ = 943176960. Its totient is φ = 155514240.

The previous prime is 401311063. The next prime is 401311069. The reversal of 401311064 is 460113104.

It is a super-2 number, since 2×401311064² = 322101140177624192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401311063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119699 + ... + 123005.

It is an arithmetic number, because the mean of its divisors is an integer number (14737140).

Almost surely, 2^401311064 is an apocalyptic number.

401311064 is a gapful number since it is divisible by the number (44) 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 401311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471588480).

401311064 is an abundant number, since it is smaller than the sum of its proper divisors (541865896).

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

401311064 is a wasteful number, since it uses less digits than its factorization.

401311064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 401311064 is about 20032.7497862875. The cubic root of 401311064 is about 737.6104219993.

Adding to 401311064 its reverse (460113104), we get a palindrome (861424168).

The spelling of 401311064 in words is "four hundred one million, three hundred eleven thousand, sixty-four".