461734144 has 81 divisors (see below), whose sum is σ = 991619517. Its totient is φ = 214536192.

The previous prime is 461734139. The next prime is 461734151. The reversal of 461734144 is 441437164.

The square root of 461734144 is 21488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 359481600 + 102252544 = 18960^2 + 10112^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5844697 + ... + 5844775.

Almost surely, 2^461734144 is an apocalyptic number.

461734144 is the 21488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461734144

461734144 is an abundant number, since it is smaller than the sum of its proper divisors (529885373).

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

461734144 is an frugal number, since it uses more digits than its factorization.

461734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The cubic root of 461734144 is about 772.9130917970.

The spelling of 461734144 in words is "four hundred sixty-one million, seven hundred thirty-four thousand, one hundred forty-four".