460727043387408 has 1200 divisors, whose sum is σ = 1694937032712000. Its totient is φ = 119994175236096.

The previous prime is 460727043387329. The next prime is 460727043387409. The reversal of 460727043387408 is 804783340727064.

460727043387408 is a `hidden beast` number, since 4 + 60 + 7 + 2 + 70 + 433 + 8 + 74 + 0 + 8 = 666.

It is a super-3 number, since 3×460727043387408³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (460727043387409) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10252253803 + ... + 10252298741.

It is an arithmetic number, because the mean of its divisors is an integer number (1412447527260).

Almost surely, 2^{460727043387408} is an apocalyptic number.

460727043387408 is a gapful number since it is divisible by the number (48) 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 460727043387408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847468516356000).

460727043387408 is an abundant number, since it is smaller than the sum of its proper divisors (1234209989324592).

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

460727043387408 is a wasteful number, since it uses less digits than its factorization.

460727043387408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45314 (or 45292 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 460727043387408 in words is "four hundred sixty trillion, seven hundred twenty-seven billion, forty-three million, three hundred eighty-seven thousand, four hundred eight".