461625216 has 256 divisors, whose sum is σ = 1443993600. Its totient is φ = 129392640.

The previous prime is 461625193. The next prime is 461625217. The reversal of 461625216 is 612526164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461625217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940210 + ... + 2940366.

It is an arithmetic number, because the mean of its divisors is an integer number (5640600).

Almost surely, 2^461625216 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 461625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721996800).

461625216 is an abundant number, since it is smaller than the sum of its proper divisors (982368384).

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

461625216 is a wasteful number, since it uses less digits than its factorization.

461625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 461625216 is about 21485.4652265200. The cubic root of 461625216 is about 772.8523075414.

The spelling of 461625216 in words is "four hundred sixty-one million, six hundred twenty-five thousand, two hundred sixteen".