332001024 has 144 divisors (see below), whose sum is σ = 953648640. Its totient is φ = 102154240.

The previous prime is 332001023. The next prime is 332001071. The reversal of 332001024 is 420100233.

It is a super-2 number, since 2×332001024² = 220449359874097152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332000994 and 332001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770089 + ... + 770519.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2^332001024 is an apocalyptic number.

332001024 is a gapful number since it is divisible by the number (34) 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 332001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476824320).

332001024 is an abundant number, since it is smaller than the sum of its proper divisors (621647616).

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

332001024 is a wasteful number, since it uses less digits than its factorization.

332001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 332001024 is about 18220.8952579175. The cubic root of 332001024 is about 692.4362691636.

Adding to 332001024 its reverse (420100233), we get a palindrome (752101257).

The spelling of 332001024 in words is "three hundred thirty-two million, one thousand, twenty-four".