461363201 has 8 divisors (see below), whose sum is σ = 508971624. Its totient is φ = 415486080.

The previous prime is 461363159. The next prime is 461363207. The reversal of 461363201 is 102363164.

It can be written as a sum of positive squares in 4 ways, for example, as 74218225 + 387144976 = 8615^2 + 19676^2 .

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 461363201 - 2¹⁰ = 461362177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461363207) 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, 432266 + ... + 433331.

It is an arithmetic number, because the mean of its divisors is an integer number (63621453).

Almost surely, 2^461363201 is an apocalyptic number.

461363201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

461363201 is a deficient number, since it is larger than the sum of its proper divisors (47608423).

461363201 is a wasteful number, since it uses less digits than its factorization.

461363201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865651.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 461363201 is about 21479.3668668329. The cubic root of 461363201 is about 772.7060581493.

The spelling of 461363201 in words is "four hundred sixty-one million, three hundred sixty-three thousand, two hundred one".