468631800 has 288 divisors, whose sum is σ = 1937688480. Its totient is φ = 98841600.

The previous prime is 468631781. The next prime is 468631817. The reversal of 468631800 is 8136864.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162370 + ... + 165230.

It is an arithmetic number, because the mean of its divisors is an integer number (6728085).

Almost surely, 2^468631800 is an apocalyptic number.

468631800 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 468631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968844240).

468631800 is an abundant number, since it is smaller than the sum of its proper divisors (1469056680).

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

468631800 is a wasteful number, since it uses less digits than its factorization.

468631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2891 counting only the distinct ones).

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

The square root of 468631800 is about 21647.9052104355. The cubic root of 468631800 is about 776.7428276872.

The spelling of 468631800 in words is "four hundred sixty-eight million, six hundred thirty-one thousand, eight hundred".