460489603392 has 2016 divisors, whose sum is σ = 1869877481472. Its totient is φ = 111051730944.

The previous prime is 460489603373. The next prime is 460489603451. The reversal of 460489603392 is 293306984064.

460489603392 is a `hidden beast` number, since 46 + 0 + 489 + 6 + 0 + 33 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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 287 ways as a sum of consecutive naturals, for example, 9797651113 + ... + 9797651159.

It is an arithmetic number, because the mean of its divisors is an integer number (927518592).

Almost surely, 2^460489603392 is an apocalyptic number.

460489603392 is a gapful number since it is divisible by the number (42) 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 460489603392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934938740736).

460489603392 is an abundant number, since it is smaller than the sum of its proper divisors (1409387878080).

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

460489603392 is a wasteful number, since it uses less digits than its factorization.

460489603392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 460489603392 in words is "four hundred sixty billion, four hundred eighty-nine million, six hundred three thousand, three hundred ninety-two".