461897344 has 64 divisors (see below), whose sum is σ = 1000821960. Its totient is φ = 211451904.

The previous prime is 461897329. The next prime is 461897369. The reversal of 461897344 is 443798164.

It can be written as a sum of positive squares in 4 ways, for example, as 403527744 + 58369600 = 20088^2 + 7640^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 461897294 and 461897303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77644 + ... + 83380.

Almost surely, 2^461897344 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 461897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500410980).

461897344 is an abundant number, since it is smaller than the sum of its proper divisors (538924616).

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

461897344 is a wasteful number, since it uses less digits than its factorization.

461897344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5793 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 461897344 is about 21491.7971328598. The cubic root of 461897344 is about 773.0041431519.

It can be divided in two parts, 461897 and 344, that added together give a triangular number (462241 = T₉₆₁).

The spelling of 461897344 in words is "four hundred sixty-one million, eight hundred ninety-seven thousand, three hundred forty-four".