461020896 has 120 divisors (see below), whose sum is σ = 1549603440. Its totient is φ = 131715072.

The previous prime is 461020877. The next prime is 461020907. The reversal of 461020896 is 698020164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 461020896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5440 + ... + 30848.

It is an arithmetic number, because the mean of its divisors is an integer number (12913362).

Almost surely, 2^461020896 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 461020896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774801720).

461020896 is an abundant number, since it is smaller than the sum of its proper divisors (1088582544).

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

461020896 is a wasteful number, since it uses less digits than its factorization.

461020896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25438 (or 25421 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 461020896 is about 21471.3971599428. The cubic root of 461020896 is about 772.5149096943.

The spelling of 461020896 in words is "four hundred sixty-one million, twenty thousand, eight hundred ninety-six".