461776896 has 192 divisors, whose sum is σ = 1564617600. Its totient is φ = 131825664.

The previous prime is 461776879. The next prime is 461776937. The reversal of 461776896 is 698677164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386476 + ... + 387668.

It is an arithmetic number, because the mean of its divisors is an integer number (8149050).

Almost surely, 2^461776896 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 461776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782308800).

461776896 is an abundant number, since it is smaller than the sum of its proper divisors (1102840704).

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

461776896 is a wasteful number, since it uses less digits than its factorization.

461776896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1205 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 461776896 is about 21488.9947647627. The cubic root of 461776896 is about 772.9369457551.

The spelling of 461776896 in words is "four hundred sixty-one million, seven hundred seventy-six thousand, eight hundred ninety-six".