461715201 has 16 divisors (see below), whose sum is σ = 693659520. Its totient is φ = 303473520.

The previous prime is 461715131. The next prime is 461715203. The reversal of 461715201 is 102517164.

It is a happy number.

It is not a de Polignac number, because 461715201 - 2⁷ = 461715073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (461715203) 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 15 ways as a sum of consecutive naturals, for example, 118510 + ... + 122343.

It is an arithmetic number, because the mean of its divisors is an integer number (43353720).

Almost surely, 2^461715201 is an apocalyptic number.

It is an amenable number.

461715201 is a deficient number, since it is larger than the sum of its proper divisors (231944319).

461715201 is a wasteful number, since it uses less digits than its factorization.

461715201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240933 (or 240927 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 461715201 is about 21487.5592145781. The cubic root of 461715201 is about 772.9025218669.

The spelling of 461715201 in words is "four hundred sixty-one million, seven hundred fifteen thousand, two hundred one".