461848392 has 80 divisors (see below), whose sum is σ = 1296672300. Its totient is φ = 153584640.

The previous prime is 461848391. The next prime is 461848433. The reversal of 461848392 is 293848164.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 461132676 + 715716 = 21474^2 + 846^2 .

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

It is not an unprimeable number, because it can be changed into a prime (461848391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 523792 + ... + 524672.

Almost surely, 2^461848392 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 461848392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648336150).

461848392 is an abundant number, since it is smaller than the sum of its proper divisors (834823908).

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

461848392 is a wasteful number, since it uses less digits than its factorization.

461848392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1695 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 461848392 is about 21490.6582495744. The cubic root of 461848392 is about 772.9768344608.

The spelling of 461848392 in words is "four hundred sixty-one million, eight hundred forty-eight thousand, three hundred ninety-two".