468465000 has 80 divisors (see below), whose sum is σ = 1463531520. Its totient is φ = 124920000.

The previous prime is 468464999. The next prime is 468465037. The reversal of 468465000 is 564864.

It is a happy number.

It is a super-3 number, since 3×468465000³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 616 + ... + 30615.

It is an arithmetic number, because the mean of its divisors is an integer number (18294144).

Almost surely, 2^468465000 is an apocalyptic number.

468465000 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 468465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731765760).

468465000 is an abundant number, since it is smaller than the sum of its proper divisors (995066520).

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

468465000 is a wasteful number, since it uses less digits than its factorization.

468465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31260 (or 31241 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 468465000 is about 21644.0523008054. The cubic root of 468465000 is about 776.6506614576.

The spelling of 468465000 in words is "four hundred sixty-eight million, four hundred sixty-five thousand".