468209280 has 256 divisors, whose sum is σ = 1861263360. Its totient is φ = 97259520.

The previous prime is 468209251. The next prime is 468209281. The reversal of 468209280 is 82902864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468209281) 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 31 ways as a sum of consecutive naturals, for example, 146257 + ... + 149423.

It is an arithmetic number, because the mean of its divisors is an integer number (7270560).

Almost surely, 2^468209280 is an apocalyptic number.

468209280 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 468209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930631680).

468209280 is an abundant number, since it is smaller than the sum of its proper divisors (1393054080).

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

468209280 is a wasteful number, since it uses less digits than its factorization.

468209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 468209280 is about 21638.1440978657. The cubic root of 468209280 is about 776.5093195178.

The spelling of 468209280 in words is "four hundred sixty-eight million, two hundred nine thousand, two hundred eighty".