468791297280 has 360 divisors, whose sum is σ = 1718349278184. Its totient is φ = 121960857600.

The previous prime is 468791297231. The next prime is 468791297297. The reversal of 468791297280 is 82792197864.

468791297280 is a `hidden beast` number, since 4 + 68 + 7 + 9 + 1 + 297 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2313225216 + 466478072064 = 48096^2 + 682992^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4195740 + ... + 4306020.

Almost surely, 2^468791297280 is an apocalyptic number.

468791297280 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 468791297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859174639092).

468791297280 is an abundant number, since it is smaller than the sum of its proper divisors (1249557980904).

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

468791297280 is a wasteful number, since it uses less digits than its factorization.

468791297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110355 (or 110332 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 468791297280 in words is "four hundred sixty-eight billion, seven hundred ninety-one million, two hundred ninety-seven thousand, two hundred eighty".