461344410 has 80 divisors (see below), whose sum is σ = 1252332576. Its totient is φ = 121852512.

The previous prime is 461344393. The next prime is 461344421. The reversal of 461344410 is 14443164.

461344410 is a `hidden beast` number, since 4 + 613 + 4 + 4 + 41 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84009 + ... + 89331.

Almost surely, 2^461344410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461344410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626166288).

461344410 is an abundant number, since it is smaller than the sum of its proper divisors (790988166).

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

461344410 is a wasteful number, since it uses less digits than its factorization.

461344410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 461344410 is about 21478.9294425956. The cubic root of 461344410 is about 772.6955674147.

Adding to 461344410 its reverse (14443164), we get a palindrome (475787574).

The spelling of 461344410 in words is "four hundred sixty-one million, three hundred forty-four thousand, four hundred ten".