401332032 has 42 divisors (see below), whose sum is σ = 1150347458. Its totient is φ = 133777152.

The previous prime is 401332021. The next prime is 401332049. The reversal of 401332032 is 230233104.

It can be written as a sum of positive squares in only one way, i.e., 355850496 + 45481536 = 18864^2 + 6744^2 .

It is a super-2 number, since 2×401332032² = 322134799818498048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401331996 and 401332014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347803 + ... + 348954.

Almost surely, 2^401332032 is an apocalyptic number.

It is an amenable number.

401332032 is an abundant number, since it is smaller than the sum of its proper divisors (749015426).

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

401332032 is a wasteful number, since it uses less digits than its factorization.

401332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696775 (or 696762 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 401332032 is about 20033.2731224830. The cubic root of 401332032 is about 737.6232681821.

Adding to 401332032 its reverse (230233104), we get a palindrome (631565136).

The spelling of 401332032 in words is "four hundred one million, three hundred thirty-two thousand, thirty-two".