332401104 has 240 divisors, whose sum is σ = 1139927040. Its totient is φ = 92413440.

The previous prime is 332401093. The next prime is 332401109. The reversal of 332401104 is 401104233.

It is a super-2 number, since 2×332401104² = 220980987880837632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332401109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867697 + ... + 868079.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2^332401104 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 332401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

332401104 is an abundant number, since it is smaller than the sum of its proper divisors (807525936).

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

332401104 is a wasteful number, since it uses less digits than its factorization.

332401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332401104 is about 18231.8705568024. The cubic root of 332401104 is about 692.7142991274.

Adding to 332401104 its reverse (401104233), we get a palindrome (733505337).

The spelling of 332401104 in words is "three hundred thirty-two million, four hundred one thousand, one hundred four".