468027000 has 768 divisors, whose sum is σ = 2102630400. Its totient is φ = 91238400.

The previous prime is 468026929. The next prime is 468027071. The reversal of 468027000 is 720864.

468027000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (468026929) and next prime (468027071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20348989 + ... + 20349011.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 2^468027000 is an apocalyptic number.

468027000 is a gapful number since it is divisible by the number (40) 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 468027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051315200).

468027000 is an abundant number, since it is smaller than the sum of its proper divisors (1634603400).

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

468027000 is a wasteful number, since it uses less digits than its factorization.

468027000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 468027000 is about 21633.9316815044. The cubic root of 468027000 is about 776.4085380248.

Adding to 468027000 its reverse (720864), we get a palindrome (468747864).

The spelling of 468027000 in words is "four hundred sixty-eight million, twenty-seven thousand".