468778200 has 192 divisors, whose sum is σ = 1601147520. Its totient is φ = 113449600.

The previous prime is 468778199. The next prime is 468778201. The reversal of 468778200 is 2877864.

It is an interprime number because it is at equal distance from previous prime (468778199) and next prime (468778201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468778201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798307 + ... + 798893.

It is an arithmetic number, because the mean of its divisors is an integer number (8339310).

Almost surely, 2^468778200 is an apocalyptic number.

468778200 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 468778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800573760).

468778200 is an abundant number, since it is smaller than the sum of its proper divisors (1132369320).

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

468778200 is a wasteful number, since it uses less digits than its factorization.

468778200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 468778200 is about 21651.2863359201. The cubic root of 468778200 is about 776.8237037684.

The spelling of 468778200 in words is "four hundred sixty-eight million, seven hundred seventy-eight thousand, two hundred".