468235800 has 144 divisors (see below), whose sum is σ = 1599507000. Its totient is φ = 122718720.

The previous prime is 468235783. The next prime is 468235813. The reversal of 468235800 is 8532864.

468235800 = T₄₈₆ + T₄₈₇ + ... + T₁₄₂₉.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103996 + ... + 108404.

Almost surely, 2^468235800 is an apocalyptic number.

468235800 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 468235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799753500).

468235800 is an abundant number, since it is smaller than the sum of its proper divisors (1131271200).

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

468235800 is a wasteful number, since it uses less digits than its factorization.

468235800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 468235800 is about 21638.7568959032. The cubic root of 468235800 is about 776.5239800832.

The spelling of 468235800 in words is "four hundred sixty-eight million, two hundred thirty-five thousand, eight hundred".