461766096 has 280 divisors, whose sum is σ = 1512537120. Its totient is φ = 135302400.

The previous prime is 461766091. The next prime is 461766103. The reversal of 461766096 is 690667164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461766091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7569906 + ... + 7569966.

Almost surely, 2^461766096 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 461766096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756268560).

461766096 is an abundant number, since it is smaller than the sum of its proper divisors (1050771024).

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

461766096 is a wasteful number, since it uses less digits than its factorization.

461766096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 461766096 is about 21488.7434718738. The cubic root of 461766096 is about 772.9309199129.

The spelling of 461766096 in words is "four hundred sixty-one million, seven hundred sixty-six thousand, ninety-six".