163800468 has 168 divisors, whose sum is σ = 482013000. Its totient is φ = 48335616.

The previous prime is 163800431. The next prime is 163800473. The reversal of 163800468 is 864008361.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 163788804 = 108^2 + 12798^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1099258 + ... + 1099406.

It is an arithmetic number, because the mean of its divisors is an integer number (2869125).

Almost surely, 2^163800468 is an apocalyptic number.

163800468 is a gapful number since it is divisible by the number (18) 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 163800468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241006500).

163800468 is an abundant number, since it is smaller than the sum of its proper divisors (318212532).

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

163800468 is a wasteful number, since it uses less digits than its factorization.

163800468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 163800468 is about 12798.4556880899. The cubic root of 163800468 is about 547.1482897811.

The spelling of 163800468 in words is "one hundred sixty-three million, eight hundred thousand, four hundred sixty-eight".