401433424 has 80 divisors (see below), whose sum is σ = 926115328. Its totient is φ = 164975616.

The previous prime is 401433391. The next prime is 401433443. The reversal of 401433424 is 424334104.

It is a super-2 number, since 2×401433424² = 322297587808727552, which contains 22 as substring.

It is a congruent number.

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, 301849 + ... + 303175.

Almost surely, 2^401433424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463057664).

401433424 is an abundant number, since it is smaller than the sum of its proper divisors (524681904).

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

401433424 is a wasteful number, since it uses less digits than its factorization.

401433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 401433424 is about 20035.8035526405. The cubic root of 401433424 is about 737.6853803446.

Adding to 401433424 its reverse (424334104), we get a palindrome (825767528).

The spelling of 401433424 in words is "four hundred one million, four hundred thirty-three thousand, four hundred twenty-four".