468052992 has 352 divisors, whose sum is σ = 1611398400. Its totient is φ = 134369280.

The previous prime is 468052961. The next prime is 468053009. The reversal of 468052992 is 299250864.

468052992 is a `hidden beast` number, since 46 + 80 + 529 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24634359 + ... + 24634377.

Almost surely, 2^468052992 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 468052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805699200).

468052992 is an abundant number, since it is smaller than the sum of its proper divisors (1143345408).

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

468052992 is an equidigital number, since it uses as much as digits as its factorization.

468052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 468052992 is about 21634.5323961485. The cubic root of 468052992 is about 776.4229104415.

The spelling of 468052992 in words is "four hundred sixty-eight million, fifty-two thousand, nine hundred ninety-two".