468317700 has 360 divisors, whose sum is σ = 1701453600. Its totient is φ = 110730240.

The previous prime is 468317693. The next prime is 468317701. The reversal of 468317700 is 7713864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (468317701) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2616211 + ... + 2616389.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 2^468317700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468317700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850726800).

468317700 is an abundant number, since it is smaller than the sum of its proper divisors (1233135900).

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

468317700 is a wasteful number, since it uses less digits than its factorization.

468317700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 468317700 is about 21640.6492508889. The cubic root of 468317700 is about 776.5692518646.

The spelling of 468317700 in words is "four hundred sixty-eight million, three hundred seventeen thousand, seven hundred".