460921463100 has 288 divisors, whose sum is σ = 1714901350400. Its totient is φ = 104019552000.

The previous prime is 460921463059. The next prime is 460921463137. The reversal of 460921463100 is 1364129064.

460921463100 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 2 + 14 + 631 + 0 + 0 = 666.

It is a super-2 number, since 2×460921463100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 1338750 + ... + 1647450.

Almost surely, 2^460921463100 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 460921463100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857450675200).

460921463100 is an abundant number, since it is smaller than the sum of its proper divisors (1253979887300).

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

460921463100 is a wasteful number, since it uses less digits than its factorization.

460921463100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308810 (or 308797 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 460921463100 in words is "four hundred sixty billion, nine hundred twenty-one million, four hundred sixty-three thousand, one hundred".