461610816 has 112 divisors (see below), whose sum is σ = 1264798080. Its totient is φ = 148469760.

The previous prime is 461610811. The next prime is 461610817. The reversal of 461610816 is 618016164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461610811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285645 + ... + 1286003.

It is an arithmetic number, because the mean of its divisors is an integer number (11292840).

Almost surely, 2^461610816 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 461610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

461610816 is an abundant number, since it is smaller than the sum of its proper divisors (803187264).

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

461610816 is a wasteful number, since it uses less digits than its factorization.

461610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 461610816 is about 21485.1301136391. The cubic root of 461610816 is about 772.8442713044.

The spelling of 461610816 in words is "four hundred sixty-one million, six hundred ten thousand, eight hundred sixteen".