401232384 has 180 divisors, whose sum is σ = 1347800454. Its totient is φ = 114573312.

The previous prime is 401232383. The next prime is 401232409. The reversal of 401232384 is 483232104.

401232384 is a `hidden beast` number, since 401 + 23 + 238 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341510400 + 59721984 = 18480^2 + 7728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401232383) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224904 + ... + 226680.

Almost surely, 2^401232384 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 401232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673900227).

401232384 is an abundant number, since it is smaller than the sum of its proper divisors (946568070).

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

401232384 is a wasteful number, since it uses less digits than its factorization.

401232384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 401232384 is about 20030.7859057003. The cubic root of 401232384 is about 737.5622141904.

Adding to 401232384 its reverse (483232104), we get a palindrome (884464488).

The spelling of 401232384 in words is "four hundred one million, two hundred thirty-two thousand, three hundred eighty-four".