461844900 has 162 divisors, whose sum is σ = 1591568706. Its totient is φ = 111936000.

The previous prime is 461844883. The next prime is 461844907. The reversal of 461844900 is 9448164.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 139570596 + 322274304 = 11814^2 + 17952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461844907) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106780 + ... + 111020.

Almost surely, 2^461844900 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 461844900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795784353).

461844900 is an abundant number, since it is smaller than the sum of its proper divisors (1129723806).

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

461844900 is a wasteful number, since it uses less digits than its factorization.

461844900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461844900 is about 21490.5770048177. The cubic root of 461844900 is about 772.9748863165.

The spelling of 461844900 in words is "four hundred sixty-one million, eight hundred forty-four thousand, nine hundred".