332320401 has 60 divisors (see below), whose sum is σ = 583900020. Its totient is φ = 187790400.

The previous prime is 332320357. The next prime is 332320411. The reversal of 332320401 is 104023233.

332320401 is a `hidden beast` number, since 33 + 232 + 0 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 268304400 + 64016001 = 16380^2 + 8001^2 .

It is not a de Polignac number, because 332320401 - 2⁶ = 332320337 is a prime.

It is a super-4 number, since 4×332320401⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332320411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 400455 + ... + 401283.

It is an arithmetic number, because the mean of its divisors is an integer number (9731667).

Almost surely, 2^332320401 is an apocalyptic number.

It is an amenable number.

332320401 is a deficient number, since it is larger than the sum of its proper divisors (251579619).

332320401 is a wasteful number, since it uses less digits than its factorization.

332320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 940 counting only the distinct ones).

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

The square root of 332320401 is about 18229.6571827339. The cubic root of 332320401 is about 692.6582336829.

Adding to 332320401 its reverse (104023233), we get a palindrome (436343634).

The spelling of 332320401 in words is "three hundred thirty-two million, three hundred twenty thousand, four hundred one".