401322432 has 112 divisors (see below), whose sum is σ = 1243291392. Its totient is φ = 111851520.

The previous prime is 401322421. The next prime is 401322437. The reversal of 401322432 is 234223104.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×401322432² = 322119388852789248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 401322399 and 401322408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401322437) 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, 51463 + ... + 58745.

It is an arithmetic number, because the mean of its divisors is an integer number (11100816).

Almost surely, 2^401322432 is an apocalyptic number.

401322432 is a gapful number since it is divisible by the number (42) 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 401322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621645696).

401322432 is an abundant number, since it is smaller than the sum of its proper divisors (841968960).

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

401322432 is a wasteful number, since it uses less digits than its factorization.

401322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401322432 is about 20033.0335196645. The cubic root of 401322432 is about 737.6173867346.

Adding to 401322432 its reverse (234223104), we get a palindrome (635545536).

The spelling of 401322432 in words is "four hundred one million, three hundred twenty-two thousand, four hundred thirty-two".