468766000 has 40 divisors (see below), whose sum is σ = 1133481024. Its totient is φ = 187505600.

The previous prime is 468765949. The next prime is 468766003. The reversal of 468766000 is 667864.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (468766003) 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, 115192 + ... + 119191.

Almost surely, 2^468766000 is an apocalyptic number.

468766000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468766000 is an abundant number, since it is smaller than the sum of its proper divisors (664715024).

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

468766000 is a wasteful number, since it uses less digits than its factorization.

468766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234406 (or 234390 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 468766000 is about 21651.0045956302. The cubic root of 468766000 is about 776.8169647381.

The spelling of 468766000 in words is "four hundred sixty-eight million, seven hundred sixty-six thousand".