461282610 has 64 divisors (see below), whose sum is σ = 1129749120. Its totient is φ = 120506880.

The previous prime is 461282609. The next prime is 461282617. The reversal of 461282610 is 16282164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461282617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810406 + ... + 810974.

It is an arithmetic number, because the mean of its divisors is an integer number (17652330).

Almost surely, 2^461282610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461282610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564874560).

461282610 is an abundant number, since it is smaller than the sum of its proper divisors (668466510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461282610 is a wasteful number, since it uses less digits than its factorization.

461282610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 461282610 is about 21477.4907752279. The cubic root of 461282610 is about 772.6610633887.

The spelling of 461282610 in words is "four hundred sixty-one million, two hundred eighty-two thousand, six hundred ten".