468123800 has 96 divisors (see below), whose sum is σ = 1152716400. Its totient is φ = 176494080.

The previous prime is 468123797. The next prime is 468123809. The reversal of 468123800 is 8321864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468123809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 248462 + ... + 250338.

Almost surely, 2^468123800 is an apocalyptic number.

468123800 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 468123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576358200).

468123800 is an abundant number, since it is smaller than the sum of its proper divisors (684592600).

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

468123800 is a wasteful number, since it uses less digits than its factorization.

468123800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 468123800 is about 21636.1687920944. The cubic root of 468123800 is about 776.4620614082.

The spelling of 468123800 in words is "four hundred sixty-eight million, one hundred twenty-three thousand, eight hundred".