468075776 has 72 divisors (see below), whose sum is σ = 1104741120. Its totient is φ = 193665024.

The previous prime is 468075649. The next prime is 468075779. The reversal of 468075776 is 677570864.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468075779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47465 + ... + 56471.

Almost surely, 2^468075776 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 468075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552370560).

468075776 is an abundant number, since it is smaller than the sum of its proper divisors (636665344).

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

468075776 is an equidigital number, since it uses as much as digits as its factorization.

468075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The square root of 468075776 is about 21635.0589553160. The cubic root of 468075776 is about 776.4355085396.

The spelling of 468075776 in words is "four hundred sixty-eight million, seventy-five thousand, seven hundred seventy-six".