578450601 has 9 divisors (see below), whose sum is σ = 835643991. Its totient is φ = 385585632.

The previous prime is 578450557. The next prime is 578450603. The reversal of 578450601 is 106054875.

The square root of 578450601 is 24051.

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

578450601 is a `hidden beast` number, since 5 + 7 + 8 + 45 + 0 + 601 = 666.

578450601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 334341225 + 244109376 = 18285^2 + 15624^2 .

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

It is not a de Polignac number, because 578450601 - 2²³ = 570061993 is a prime.

It is a super-2 number, since 2×578450601² = 669210195594522402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (578450603) 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, 68145 + ... + 76161.

Almost surely, 2^578450601 is an apocalyptic number.

578450601 is the 24051-st square number.

578450601 is the 12026-th centered octagonal number.

It is an amenable number.

578450601 is a deficient number, since it is larger than the sum of its proper divisors (257193390).

578450601 is an frugal number, since it uses more digits than its factorization.

578450601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The cubic root of 578450601 is about 833.2118263197.

Multiplying 578450601 by its sum of digits (36), we get a square (20824221636 = 144306²).

The spelling of 578450601 in words is "five hundred seventy-eight million, four hundred fifty thousand, six hundred one".