461744416 has 48 divisors (see below), whose sum is σ = 1041465600. Its totient is φ = 197406720.

The previous prime is 461744401. The next prime is 461744431. The reversal of 461744416 is 614447164.

It is an interprime number because it is at equal distance from previous prime (461744401) and next prime (461744431).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98281 + ... + 102871.

It is an arithmetic number, because the mean of its divisors is an integer number (21697200).

Almost surely, 2^461744416 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 461744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

461744416 is an abundant number, since it is smaller than the sum of its proper divisors (579721184).

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

461744416 is a wasteful number, since it uses less digits than its factorization.

461744416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5049 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 461744416 is about 21488.2390157965. The cubic root of 461744416 is about 772.9188233091.

The spelling of 461744416 in words is "four hundred sixty-one million, seven hundred forty-four thousand, four hundred sixteen".