461223360 has 336 divisors, whose sum is σ = 1739652096. Its totient is φ = 111476736.

The previous prime is 461223317. The next prime is 461223397. The reversal of 461223360 is 63322164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3631617 + ... + 3631743.

It is an arithmetic number, because the mean of its divisors is an integer number (5177536).

Almost surely, 2^461223360 is an apocalyptic number.

461223360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869826048).

461223360 is an abundant number, since it is smaller than the sum of its proper divisors (1278428736).

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

461223360 is a wasteful number, since it uses less digits than its factorization.

461223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 461223360 is about 21476.1113798565. Note that the first 3 decimals coincide. The cubic root of 461223360 is about 772.6279801788.

It can be divided in two parts, 4612 and 23360, that added together give a palindrome (27972).

The spelling of 461223360 in words is "four hundred sixty-one million, two hundred twenty-three thousand, three hundred sixty".