461220096 has 72 divisors (see below), whose sum is σ = 1260771904. Its totient is φ = 149575680.

The previous prime is 461220061. The next prime is 461220121. The reversal of 461220096 is 690022164.

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, 20301 + ... + 36531.

Almost surely, 2^461220096 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 461220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630385952).

461220096 is an abundant number, since it is smaller than the sum of its proper divisors (799551808).

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

461220096 is a wasteful number, since it uses less digits than its factorization.

461220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16287 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 461220096 is about 21476.0353883113. The cubic root of 461220096 is about 772.6261575885.

The spelling of 461220096 in words is "four hundred sixty-one million, two hundred twenty thousand, ninety-six".