461238801 has 16 divisors (see below), whose sum is σ = 640770048. Its totient is φ = 294786000.

The previous prime is 461238773. The next prime is 461238829. The reversal of 461238801 is 108832164.

It is an interprime number because it is at equal distance from previous prime (461238773) and next prime (461238829).

It is not a de Polignac number, because 461238801 - 2¹⁴ = 461222417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461288801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13225 + ... + 33126.

It is an arithmetic number, because the mean of its divisors is an integer number (40048128).

Almost surely, 2^461238801 is an apocalyptic number.

It is an amenable number.

461238801 is a deficient number, since it is larger than the sum of its proper divisors (179531247).

461238801 is a wasteful number, since it uses less digits than its factorization.

461238801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46492.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 461238801 is about 21476.4708693025. The cubic root of 461238801 is about 772.6366021875.

The spelling of 461238801 in words is "four hundred sixty-one million, two hundred thirty-eight thousand, eight hundred one".