468146304 has 224 divisors, whose sum is σ = 1454892300. Its totient is φ = 149796864.

The previous prime is 468146249. The next prime is 468146321. The reversal of 468146304 is 403641864.

468146304 is a `hidden beast` number, since 4 + 6 + 8 + 14 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 438986304 + 29160000 = 20952^2 + 5400^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2705962 + ... + 2706134.

Almost surely, 2^468146304 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 468146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727446150).

468146304 is an abundant number, since it is smaller than the sum of its proper divisors (986745996).

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

468146304 is an equidigital number, since it uses as much as digits as its factorization.

468146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 468146304 is about 21636.6888409479. The cubic root of 468146304 is about 776.4745034319.

The spelling of 468146304 in words is "four hundred sixty-eight million, one hundred forty-six thousand, three hundred four".