468164700 has 216 divisors, whose sum is σ = 1597678992. Its totient is φ = 114186240.

The previous prime is 468164689. The next prime is 468164789. The reversal of 468164700 is 7461864.

468164700 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 647 + 0 + 0 = 666.

468164700 is a nontrivial binomial coefficient, being equal to C(30600, 2).

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

It is a congruent number.

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, 565687 + ... + 566513.

It is an arithmetic number, because the mean of its divisors is an integer number (7396662).

Almost surely, 2^468164700 is an apocalyptic number.

468164700 is the 30599-th triangular number and also the 15300-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798839496).

468164700 is an abundant number, since it is smaller than the sum of its proper divisors (1129514292).

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

468164700 is a wasteful number, since it uses less digits than its factorization.

468164700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 468164700 is about 21637.1139480292. The cubic root of 468164700 is about 776.4846739261.

It can be divided in two parts, 468164 and 700, that added together give a palindrome (468864).

The spelling of 468164700 in words is "four hundred sixty-eight million, one hundred sixty-four thousand, seven hundred".