468092494080 has 432 divisors, whose sum is σ = 1689437131200. Its totient is φ = 124088868864.

The previous prime is 468092494073. The next prime is 468092494127. The reversal of 468092494080 is 80494290864.

468092494080 is a `hidden beast` number, since 4 + 68 + 0 + 92 + 494 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×468092494080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53805571 + ... + 53814269.

It is an arithmetic number, because the mean of its divisors is an integer number (3910734100).

Almost surely, 2^468092494080 is an apocalyptic number.

468092494080 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 468092494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844718565600).

468092494080 is an abundant number, since it is smaller than the sum of its proper divisors (1221344637120).

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

468092494080 is an equidigital number, since it uses as much as digits as its factorization.

468092494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 468092494080 in words is "four hundred sixty-eight billion, ninety-two million, four hundred ninety-four thousand, eighty".