461875201 has 8 divisors (see below), whose sum is σ = 469090440. Its totient is φ = 454705152.

The previous prime is 461875171. The next prime is 461875207. The reversal of 461875201 is 102578164.

It can be written as a sum of positive squares in 4 ways, for example, as 40640625 + 421234576 = 6375^2 + 20524^2 .

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 461875201 - 2²¹ = 459778049 is a prime.

It is a super-3 number, since 3×461875201³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461875207) 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, 9601 + ... + 31873.

It is an arithmetic number, because the mean of its divisors is an integer number (58636305).

Almost surely, 2^461875201 is an apocalyptic number.

It is an amenable number.

461875201 is a deficient number, since it is larger than the sum of its proper divisors (7215239).

461875201 is a wasteful number, since it uses less digits than its factorization.

461875201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22595.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 461875201 is about 21491.2819766528. The cubic root of 461875201 is about 772.9917905484.

The spelling of 461875201 in words is "four hundred sixty-one million, eight hundred seventy-five thousand, two hundred one".