472601 has 8 divisors (see below), whose sum is σ = 496584. Its totient is φ = 449280.

The previous prime is 472597. The next prime is 472631. The reversal of 472601 is 106274.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 198025 = 524^2 + 445^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 472601 - 2² = 472597 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (472631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (62073).

2⁴⁷²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

472601 is a deficient number, since it is larger than the sum of its proper divisors (23983).

472601 is a wasteful number, since it uses less digits than its factorization.

472601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 472601 is about 687.4598170075. The cubic root of 472601 is about 77.8929607822.

Adding to 472601 its reverse (106274), we get a palindrome (578875).

The spelling of 472601 in words is "four hundred seventy-two thousand, six hundred one".