461241144 has 384 divisors, whose sum is σ = 1684126080. Its totient is φ = 110592000.

The previous prime is 461241101. The next prime is 461241163. The reversal of 461241144 is 441142164.

461241144 is a `hidden beast` number, since 4 + 612 + 4 + 1 + 1 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4566694 + ... + 4566794.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^461241144 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 461241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

461241144 is an abundant number, since it is smaller than the sum of its proper divisors (1222884936).

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

461241144 is a wasteful number, since it uses less digits than its factorization.

461241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 461241144 is about 21476.5254173016. The cubic root of 461241144 is about 772.6379104646.

The spelling of 461241144 in words is "four hundred sixty-one million, two hundred forty-one thousand, one hundred forty-four".