4596704401 has 9 divisors (see below), whose sum is σ = 4637676603. Its totient is φ = 4556092800.

The previous prime is 4596704393. The next prime is 4596704407. The reversal of 4596704401 is 1044076954.

The square root of 4596704401 is 67799.

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

It can be written as a sum of positive squares in only one way, i.e., 2809106001 + 1787598400 = 53001^2 + 42280^2 .

It is not a de Polignac number, because 4596704401 - 2³ = 4596704393 is a prime.

It is a super-3 number, since 3×4596704401³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4596704407) 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, 10237425 + ... + 10237873.

Almost surely, 2^4596704401 is an apocalyptic number.

4596704401 is the 67799-th square number.

4596704401 is the 33900-th centered octagonal number.

It is an amenable number.

4596704401 is a deficient number, since it is larger than the sum of its proper divisors (40972202).

4596704401 is an frugal number, since it uses more digits than its factorization.

4596704401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The cubic root of 4596704401 is about 1662.7062356773.

The spelling of 4596704401 in words is "four billion, five hundred ninety-six million, seven hundred four thousand, four hundred one".