468450017280 has 1216 divisors, whose sum is σ = 1997155983360. Its totient is φ = 101921587200.

The previous prime is 468450017177. The next prime is 468450017281. The reversal of 468450017280 is 82710054864.

468450017280 is a `hidden beast` number, since 4 + 68 + 4 + 500 + 1 + 7 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (468450017281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7679508450 + ... + 7679508510.

Almost surely, 2^468450017280 is an apocalyptic number.

468450017280 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 468450017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998577991680).

468450017280 is an abundant number, since it is smaller than the sum of its proper divisors (1528705966080).

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

468450017280 is an frugal number, since it uses more digits than its factorization.

468450017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 468450017280 in words is "four hundred sixty-eight billion, four hundred fifty million, seventeen thousand, two hundred eighty".