468608700 has 216 divisors, whose sum is σ = 1602314112. Its totient is φ = 103576320.

The previous prime is 468608683. The next prime is 468608729. The reversal of 468608700 is 7806864.

It is a super-2 number, since 2×468608700² = 439188227431380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2874819 + ... + 2874981.

Almost surely, 2^468608700 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 468608700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801157056).

468608700 is an abundant number, since it is smaller than the sum of its proper divisors (1133705412).

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

468608700 is a wasteful number, since it uses less digits than its factorization.

468608700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 468608700 is about 21647.3716649389. The cubic root of 468608700 is about 776.7300649638.

The spelling of 468608700 in words is "four hundred sixty-eight million, six hundred eight thousand, seven hundred".