461064736 has 144 divisors (see below), whose sum is σ = 1081019520. Its totient is φ = 191654400.

The previous prime is 461064731. The next prime is 461064743. The reversal of 461064736 is 637460164.

It is a super-3 number, since 3×461064736³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461064695 and 461064704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461064731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9809865 + ... + 9809911.

It is an arithmetic number, because the mean of its divisors is an integer number (7507080).

Almost surely, 2^461064736 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 461064736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540509760).

461064736 is an abundant number, since it is smaller than the sum of its proper divisors (619954784).

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

461064736 is a wasteful number, since it uses less digits than its factorization.

461064736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 461064736 is about 21472.4180287177. The cubic root of 461064736 is about 772.5393959164.

The spelling of 461064736 in words is "four hundred sixty-one million, sixty-four thousand, seven hundred thirty-six".