461904768 has 320 divisors, whose sum is σ = 1555092000. Its totient is φ = 135032832.

The previous prime is 461904757. The next prime is 461904787. The reversal of 461904768 is 867409164.

461904768 is a `hidden beast` number, since 461 + 90 + 47 + 68 = 666.

It is a super-2 number, since 2×461904768² = 426712029402267648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3099958 + ... + 3100106.

Almost surely, 2^461904768 is an apocalyptic number.

461904768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777546000).

461904768 is an abundant number, since it is smaller than the sum of its proper divisors (1093187232).

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

461904768 is a wasteful number, since it uses less digits than its factorization.

461904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 461904768 is about 21491.9698492251. The cubic root of 461904768 is about 773.0082845858.

The spelling of 461904768 in words is "four hundred sixty-one million, nine hundred four thousand, seven hundred sixty-eight".