461764448 has 48 divisors (see below), whose sum is σ = 989982000. Its totient is φ = 211180032.

The previous prime is 461764447. The next prime is 461764481. The reversal of 461764448 is 844467164.

It is a junction number, because it is equal to n+sod(n) for n = 461764399 and 461764408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461764447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4538 + ... + 30726.

It is an arithmetic number, because the mean of its divisors is an integer number (20624625).

Almost surely, 2^461764448 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 461764448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494991000).

461764448 is an abundant number, since it is smaller than the sum of its proper divisors (528217552).

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

461764448 is a wasteful number, since it uses less digits than its factorization.

461764448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26247 (or 26239 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 461764448 is about 21488.7051261820. The cubic root of 461764448 is about 772.9300004058.

The spelling of 461764448 in words is "four hundred sixty-one million, seven hundred sixty-four thousand, four hundred forty-eight".