461313216 has 252 divisors, whose sum is σ = 1638769392. Its totient is φ = 121485312.

The previous prime is 461313191. The next prime is 461313221. The reversal of 461313216 is 612313164.

461313216 is a `hidden beast` number, since 4 + 613 + 1 + 32 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 461313216.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681070 + ... + 681746.

Almost surely, 2^461313216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819384696).

461313216 is an abundant number, since it is smaller than the sum of its proper divisors (1177456176).

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

461313216 is a wasteful number, since it uses less digits than its factorization.

461313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 702 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 461313216 is about 21478.2032768107. The cubic root of 461313216 is about 772.6781516415.

The spelling of 461313216 in words is "four hundred sixty-one million, three hundred thirteen thousand, two hundred sixteen".