401432820 has 96 divisors (see below), whose sum is σ = 1147305600. Its totient is φ = 104855040.

The previous prime is 401432791. The next prime is 401432861. The reversal of 401432820 is 28234104.

It is a super-2 number, since 2×401432820² = 322296617946304800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 741750 + ... + 742290.

It is an arithmetic number, because the mean of its divisors is an integer number (11951100).

Almost surely, 2^401432820 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 401432820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573652800).

401432820 is an abundant number, since it is smaller than the sum of its proper divisors (745872780).

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

401432820 is a wasteful number, since it uses less digits than its factorization.

401432820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 401432820 is about 20035.7884796182. The cubic root of 401432820 is about 737.6850103686.

Adding to 401432820 its reverse (28234104), we get a palindrome (429666924).

The spelling of 401432820 in words is "four hundred one million, four hundred thirty-two thousand, eight hundred twenty".