468508000 has 48 divisors (see below), whose sum is σ = 1151133984. Its totient is φ = 187401600.

The previous prime is 468507997. The next prime is 468508003. The reversal of 468508000 is 805864.

It is an interprime number because it is at equal distance from previous prime (468507997) and next prime (468508003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468508003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54564 + ... + 62563.

It is an arithmetic number, because the mean of its divisors is an integer number (23981958).

Almost surely, 2^468508000 is an apocalyptic number.

468508000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468508000 is an abundant number, since it is smaller than the sum of its proper divisors (682625984).

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

468508000 is a wasteful number, since it uses less digits than its factorization.

468508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117152 (or 117134 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 468508000 is about 21645.0456224975. The cubic root of 468508000 is about 776.6744234296.

The spelling of 468508000 in words is "four hundred sixty-eight million, five hundred eight thousand".