456920201 has 8 divisors (see below), whose sum is σ = 475293000. Its totient is φ = 438721920.

The previous prime is 456920173. The next prime is 456920209. The reversal of 456920201 is 102029654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8497225 + 448422976 = 2915^2 + 21176^2 .

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 456920201 - 2⁶ = 456920137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456920209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38276 + ... + 48773.

It is an arithmetic number, because the mean of its divisors is an integer number (59411625).

Almost surely, 2^456920201 is an apocalyptic number.

456920201 is the 9560-th centered decagonal number.

It is an amenable number.

456920201 is a deficient number, since it is larger than the sum of its proper divisors (18372799).

456920201 is a wasteful number, since it uses less digits than its factorization.

456920201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87259.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 456920201 is about 21375.6918250615. The cubic root of 456920201 is about 770.2176261233.

Adding to 456920201 its reverse (102029654), we get a palindrome (558949855).

The spelling of 456920201 in words is "four hundred fifty-six million, nine hundred twenty thousand, two hundred one".