461843844 has 192 divisors, whose sum is σ = 1403523072. Its totient is φ = 114739200.

The previous prime is 461843843. The next prime is 461843861. The reversal of 461843844 is 448348164.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 461843796 and 461843805.

It is not an unprimeable number, because it can be changed into a prime (461843843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2765449 + ... + 2765615.

It is an arithmetic number, because the mean of its divisors is an integer number (7310016).

Almost surely, 2^461843844 is an apocalyptic number.

461843844 is a gapful number since it is divisible by the number (44) 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 461843844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701761536).

461843844 is an abundant number, since it is smaller than the sum of its proper divisors (941679228).

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

461843844 is a wasteful number, since it uses less digits than its factorization.

461843844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 461843844 is about 21490.5524358961. The cubic root of 461843844 is about 772.9742971850.

The spelling of 461843844 in words is "four hundred sixty-one million, eight hundred forty-three thousand, eight hundred forty-four".