461804616 has 144 divisors (see below), whose sum is σ = 1566992700. Its totient is φ = 121782528.

The previous prime is 461804611. The next prime is 461804627. The reversal of 461804616 is 616408164.

It can be written as a sum of positive squares in 2 ways, for example, as 414936900 + 46867716 = 20370^2 + 6846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461804611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40830 + ... + 50898.

Almost surely, 2^461804616 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 461804616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783496350).

461804616 is an abundant number, since it is smaller than the sum of its proper divisors (1105188084).

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

461804616 is a wasteful number, since it uses less digits than its factorization.

461804616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461804616 is about 21489.6397363939. The cubic root of 461804616 is about 772.9524116533.

The spelling of 461804616 in words is "four hundred sixty-one million, eight hundred four thousand, six hundred sixteen".