468241200 has 360 divisors, whose sum is σ = 1968097248. Its totient is φ = 100638720.

The previous prime is 468241177. The next prime is 468241211. The reversal of 468241200 is 2142864.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 427854 + ... + 428946.

Almost surely, 2^468241200 is an apocalyptic number.

468241200 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 468241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984048624).

468241200 is an abundant number, since it is smaller than the sum of its proper divisors (1499856048).

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

468241200 is a wasteful number, since it uses less digits than its factorization.

468241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 468241200 is about 21638.8816716576. The cubic root of 468241200 is about 776.5269651984.

The spelling of 468241200 in words is "four hundred sixty-eight million, two hundred forty-one thousand, two hundred".