461028288 has 224 divisors, whose sum is σ = 1462779904. Its totient is φ = 125411328.

The previous prime is 461028263. The next prime is 461028289. The reversal of 461028288 is 882820164.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461028289) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3630081 + ... + 3630207.

Almost surely, 2^461028288 is an apocalyptic number.

461028288 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 461028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731389952).

461028288 is an abundant number, since it is smaller than the sum of its proper divisors (1001751616).

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

461028288 is a wasteful number, since it uses less digits than its factorization.

461028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 461028288 is about 21471.5692952332. The cubic root of 461028288 is about 772.5190385019.

The spelling of 461028288 in words is "four hundred sixty-one million, twenty-eight thousand, two hundred eighty-eight".