461575296 has 576 divisors, whose sum is σ = 1809433080. Its totient is φ = 111476736.

The previous prime is 461575291. The next prime is 461575319. The reversal of 461575296 is 692575164.

461575296 is a `hidden beast` number, since 4 + 615 + 7 + 5 + 29 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441000000 + 20575296 = 21000^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (461575291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12474990 + ... + 12475026.

Almost surely, 2^461575296 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 461575296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904716540).

461575296 is an abundant number, since it is smaller than the sum of its proper divisors (1347857784).

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

461575296 is a wasteful number, since it uses less digits than its factorization.

461575296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 461575296 is about 21484.3034795173. The cubic root of 461575296 is about 772.8244478718.

The spelling of 461575296 in words is "four hundred sixty-one million, five hundred seventy-five thousand, two hundred ninety-six".