461751456 has 96 divisors (see below), whose sum is σ = 1274918400. Its totient is φ = 146119680.

The previous prime is 461751403. The next prime is 461751457. The reversal of 461751456 is 654157164.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (461751457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168465 + ... + 171183.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^461751456 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 461751456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

461751456 is an abundant number, since it is smaller than the sum of its proper divisors (813166944).

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

461751456 is a wasteful number, since it uses less digits than its factorization.

461751456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2814 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 461751456 is about 21488.4028257104. The cubic root of 461751456 is about 772.9227513991.

The spelling of 461751456 in words is "four hundred sixty-one million, seven hundred fifty-one thousand, four hundred fifty-six".