461242144 has 48 divisors (see below), whose sum is σ = 1001820960. Its totient is φ = 207285760.

The previous prime is 461242141. The next prime is 461242151. The reversal of 461242144 is 441242164.

461242144 = 432² + 433² + ... + 1135².

It is not an unprimeable number, because it can be changed into a prime (461242141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23967 + ... + 38689.

It is an arithmetic number, because the mean of its divisors is an integer number (20871270).

Almost surely, 2^461242144 is an apocalyptic number.

461242144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500910480).

461242144 is an abundant number, since it is smaller than the sum of its proper divisors (540578816).

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

461242144 is a wasteful number, since it uses less digits than its factorization.

461242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14833 (or 14825 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 461242144 is about 21476.5486985223. The cubic root of 461242144 is about 772.6384688402.

The spelling of 461242144 in words is "four hundred sixty-one million, two hundred forty-two thousand, one hundred forty-four".