460464646320 has 360 divisors, whose sum is σ = 1865494756944. Its totient is φ = 105248844288.

The previous prime is 460464646307. The next prime is 460464646349. The reversal of 460464646320 is 23646464064.

460464646320 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 6 + 4 + 6 + 4 + 632 + 0 = 666.

460464646320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 710862 + ... + 1194258.

Almost surely, 2^460464646320 is an apocalyptic number.

460464646320 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 460464646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932747378472).

460464646320 is an abundant number, since it is smaller than the sum of its proper divisors (1405030110624).

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

460464646320 is a wasteful number, since it uses less digits than its factorization.

460464646320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483439 (or 483414 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 460464646320 in words is "four hundred sixty billion, four hundred sixty-four million, six hundred forty-six thousand, three hundred twenty".