461346816 has 192 divisors, whose sum is σ = 1490711040. Its totient is φ = 123863040.

The previous prime is 461346797. The next prime is 461346829. The reversal of 461346816 is 618643164.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730821 + ... + 731451.

It is an arithmetic number, because the mean of its divisors is an integer number (7764120).

Almost surely, 2^461346816 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 461346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

461346816 is an abundant number, since it is smaller than the sum of its proper divisors (1029364224).

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

461346816 is a wasteful number, since it uses less digits than its factorization.

461346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 461346816 is about 21478.9854509006. The cubic root of 461346816 is about 772.6969106644.

The spelling of 461346816 in words is "four hundred sixty-one million, three hundred forty-six thousand, eight hundred sixteen".