461563776 has 96 divisors (see below), whose sum is σ = 1334221200. Its totient is φ = 153157632.

The previous prime is 461563769. The next prime is 461563777. The reversal of 461563776 is 677365164.

461563776 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 637 + 7 + 6 = 666.

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

It is a super-2 number, since 2×461563776² = 426082238630756352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461563777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295285 + ... + 296843.

Almost surely, 2^461563776 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 461563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667110600).

461563776 is an abundant number, since it is smaller than the sum of its proper divisors (872657424).

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

461563776 is a wasteful number, since it uses less digits than its factorization.

461563776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1821 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 461563776 is about 21484.0353751338. The cubic root of 461563776 is about 772.8180184320.

The spelling of 461563776 in words is "four hundred sixty-one million, five hundred sixty-three thousand, seven hundred seventy-six".