461863296 has 192 divisors, whose sum is σ = 1425715200. Its totient is φ = 148677120.

The previous prime is 461863289. The next prime is 461863333. The reversal of 461863296 is 692368164.

461863296 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963985 + ... + 964463.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^461863296 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 461863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712857600).

461863296 is an abundant number, since it is smaller than the sum of its proper divisors (963851904).

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

461863296 is an equidigital number, since it uses as much as digits as its factorization.

461863296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 461863296 is about 21491.0050020933. The cubic root of 461863296 is about 772.9851491105.

The spelling of 461863296 in words is "four hundred sixty-one million, eight hundred sixty-three thousand, two hundred ninety-six".