332142432 has 96 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 106460160.

The previous prime is 332142409. The next prime is 332142443. The reversal of 332142432 is 234241233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×332142432² = 220637190269749248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693169 + ... + 693647.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^332142432 is an apocalyptic number.

332142432 is a gapful number since it is divisible by the number (32) 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 332142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

332142432 is an abundant number, since it is smaller than the sum of its proper divisors (573606048).

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

332142432 is a wasteful number, since it uses less digits than its factorization.

332142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 332142432 is about 18224.7752249513. The cubic root of 332142432 is about 692.5345641712.

Adding to 332142432 its reverse (234241233), we get a palindrome (566383665).

It can be divided in two parts, 3321 and 42432, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 332142432 in words is "three hundred thirty-two million, one hundred forty-two thousand, four hundred thirty-two".