401322504 has 64 divisors (see below), whose sum is σ = 1100160000. Its totient is φ = 120985920.

The previous prime is 401322491. The next prime is 401322511. The reversal of 401322504 is 405223104.

It is a super-3 number, since 3×401322504³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 48717 + ... + 56355.

It is an arithmetic number, because the mean of its divisors is an integer number (17190000).

Almost surely, 2^401322504 is an apocalyptic number.

401322504 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 401322504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550080000).

401322504 is an abundant number, since it is smaller than the sum of its proper divisors (698837496).

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

401322504 is a wasteful number, since it uses less digits than its factorization.

401322504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7858 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 401322504 is about 20033.0353166963. The cubic root of 401322504 is about 737.6174308458.

Adding to 401322504 its reverse (405223104), we get a palindrome (806545608).

The spelling of 401322504 in words is "four hundred one million, three hundred twenty-two thousand, five hundred four".