461887300 has 72 divisors (see below), whose sum is σ = 1149162560. Its totient is φ = 157852800.

The previous prime is 461887273. The next prime is 461887313. The reversal of 461887300 is 3788164.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 461887300.

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, 264430 + ... + 266170.

Almost surely, 2^461887300 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 461887300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574581280).

461887300 is an abundant number, since it is smaller than the sum of its proper divisors (687275260).

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

461887300 is a wasteful number, since it uses less digits than its factorization.

461887300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 461887300 is about 21491.5634610421. The cubic root of 461887300 is about 772.9985400960.

The spelling of 461887300 in words is "four hundred sixty-one million, eight hundred eighty-seven thousand, three hundred".