468879912200 has 108 divisors (see below), whose sum is σ = 1268312144535. Its totient is φ = 160735585920.

The previous prime is 468879912199. The next prime is 468879912283. The reversal of 468879912200 is 2219978864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 238005428164 + 230874484036 = 487858^2 + 480494^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=484190.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67783142 + ... + 67790058.

Almost surely, 2^468879912200 is an apocalyptic number.

468879912200 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 468879912200

468879912200 is an abundant number, since it is smaller than the sum of its proper divisors (799432232335).

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

468879912200 is an frugal number, since it uses more digits than its factorization.

468879912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13864 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 468879912200 in words is "four hundred sixty-eight billion, eight hundred seventy-nine million, nine hundred twelve thousand, two hundred".