461893056 has 112 divisors (see below), whose sum is σ = 1280452608. Its totient is φ = 146764800.

The previous prime is 461893051. The next prime is 461893067. The reversal of 461893056 is 650398164.

It is a junction number, because it is equal to n+sod(n) for n = 461892999 and 461893017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461893051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422046 + ... + 423138.

Almost surely, 2^461893056 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 461893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640226304).

461893056 is an abundant number, since it is smaller than the sum of its proper divisors (818559552).

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

461893056 is a wasteful number, since it uses less digits than its factorization.

461893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 461893056 is about 21491.6973736371. The cubic root of 461893056 is about 773.0017510965.

The spelling of 461893056 in words is "four hundred sixty-one million, eight hundred ninety-three thousand, fifty-six".