332872456401 has 9 divisors (see below), whose sum is σ = 480818270491. Its totient is φ = 221913817032.

The previous prime is 332872456387. The next prime is 332872456489. The reversal of 332872456401 is 104654278233.

The square root of 332872456401 is 576951.

It is a perfect power (a square), and thus also a powerful number.

332872456401 is a `hidden beast` number, since 3 + 3 + 2 + 87 + 2 + 4 + 564 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68803913025 + 264068543376 = 262305^2 + 513876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 332872456401 - 2⁵ = 332872456369 is a prime.

It is a super-2 number, since 2×332872456401² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332872456901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1634695 + ... + 1827011.

Almost surely, 2^332872456401 is an apocalyptic number.

332872456401 is the 576951-st square number.

332872456401 is the 288476-th centered octagonal number.

It is an amenable number.

332872456401 is a deficient number, since it is larger than the sum of its proper divisors (147945814090).

332872456401 is an frugal number, since it uses more digits than its factorization.

332872456401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384640 (or 192320 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 332872456401 in words is "three hundred thirty-two billion, eight hundred seventy-two million, four hundred fifty-six thousand, four hundred one".