468228096 has 288 divisors, whose sum is σ = 1635379200. Its totient is φ = 126074880.

The previous prime is 468228091. The next prime is 468228097. The reversal of 468228096 is 690822864.

468228096 is a `hidden beast` number, since 468 + 22 + 80 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468228091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2451361 + ... + 2451551.

It is an arithmetic number, because the mean of its divisors is an integer number (5678400).

Almost surely, 2^468228096 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 468228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

468228096 is an abundant number, since it is smaller than the sum of its proper divisors (1167151104).

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

468228096 is a wasteful number, since it uses less digits than its factorization.

468228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 468228096 is about 21638.5788812482. The cubic root of 468228096 is about 776.5197212792.

The spelling of 468228096 in words is "four hundred sixty-eight million, two hundred twenty-eight thousand, ninety-six".