461203301 has 16 divisors (see below), whose sum is σ = 510169968. Its totient is φ = 414220800.

The previous prime is 461203271. The next prime is 461203331. The reversal of 461203301 is 103302164.

It is an interprime number because it is at equal distance from previous prime (461203271) and next prime (461203331).

It can be written as a sum of positive squares in 8 ways, for example, as 108139201 + 353064100 = 10399^2 + 18790^2 .

It is a cyclic number.

It is not a de Polignac number, because 461203301 - 2¹⁰ = 461202277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461203331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244775 + ... + 246651.

It is an arithmetic number, because the mean of its divisors is an integer number (31885623).

Almost surely, 2^461203301 is an apocalyptic number.

461203301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

461203301 is a deficient number, since it is larger than the sum of its proper divisors (48966667).

461203301 is a wasteful number, since it uses less digits than its factorization.

461203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 461203301 is about 21475.6443675155. The cubic root of 461203301 is about 772.6167792650.

Adding to 461203301 its reverse (103302164), we get a palindrome (564505465).

It can be divided in two parts, 461 and 203301, that multiplied together give a square (93721761 = 9681²).

The spelling of 461203301 in words is "four hundred sixty-one million, two hundred three thousand, three hundred one".