460754867100 has 288 divisors, whose sum is σ = 1473754673664. Its totient is φ = 110213734400.

The previous prime is 460754867047. The next prime is 460754867101. The reversal of 460754867100 is 1768457064.

It is a self number, because there is not a number n which added to its sum of digits gives 460754867100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460754867101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86883049 + ... + 86888351.

It is an arithmetic number, because the mean of its divisors is an integer number (5117203728).

Almost surely, 2^460754867100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460754867100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736877336832).

460754867100 is an abundant number, since it is smaller than the sum of its proper divisors (1012999806564).

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

460754867100 is a wasteful number, since it uses less digits than its factorization.

460754867100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 460754867100 in words is "four hundred sixty billion, seven hundred fifty-four million, eight hundred sixty-seven thousand, one hundred".