461678336 has 72 divisors (see below), whose sum is σ = 1073296224. Its totient is φ = 194088960.

The previous prime is 461678323. The next prime is 461678351. The reversal of 461678336 is 633876164.

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 7 ways as a sum of consecutive naturals, for example, 92546 + ... + 97406.

It is an arithmetic number, because the mean of its divisors is an integer number (14906892).

Almost surely, 2^461678336 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 461678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536648112).

461678336 is an abundant number, since it is smaller than the sum of its proper divisors (611617888).

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

461678336 is an equidigital number, since it uses as much as digits as its factorization.

461678336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4923 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 461678336 is about 21486.7013755020. The cubic root of 461678336 is about 772.8819508816.

The spelling of 461678336 in words is "four hundred sixty-one million, six hundred seventy-eight thousand, three hundred thirty-six".