460127969280 has 896 divisors, whose sum is σ = 1909340352000. Its totient is φ = 105085403136.

The previous prime is 460127969237. The next prime is 460127969281. The reversal of 460127969280 is 82969721064.

460127969280 is a `hidden beast` number, since 4 + 601 + 2 + 7 + 9 + 6 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×460127969280² (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 not an unprimeable number, because it can be changed into a prime (460127969281) 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 63 ways as a sum of consecutive naturals, for example, 379329954 + ... + 379331166.

Almost surely, 2^460127969280 is an apocalyptic number.

460127969280 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 460127969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954670176000).

460127969280 is an abundant number, since it is smaller than the sum of its proper divisors (1449212382720).

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

460127969280 is an equidigital number, since it uses as much as digits as its factorization.

460127969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 460127969280 in words is "four hundred sixty billion, one hundred twenty-seven million, nine hundred sixty-nine thousand, two hundred eighty".