468435200 has 108 divisors (see below), whose sum is σ = 1182182148. Its totient is φ = 183705600.

The previous prime is 468435197. The next prime is 468435211. The reversal of 468435200 is 2534864.

It can be written as a sum of positive squares in 6 ways, for example, as 1183744 + 467251456 = 1088^2 + 21616^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 338510 + ... + 339890.

It is an arithmetic number, because the mean of its divisors is an integer number (10946131).

Almost surely, 2^468435200 is an apocalyptic number.

468435200 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 468435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591091074).

468435200 is an abundant number, since it is smaller than the sum of its proper divisors (713746948).

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

468435200 is a wasteful number, since it uses less digits than its factorization.

468435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 468435200 is about 21643.3638790277. The cubic root of 468435200 is about 776.6341930053.

The spelling of 468435200 in words is "four hundred sixty-eight million, four hundred thirty-five thousand, two hundred".