460345320630624 has 384 divisors, whose sum is σ = 1443924679196160. Its totient is φ = 126568212480000.

The previous prime is 460345320630619. The next prime is 460345320630653. The reversal of 460345320630624 is 426036023543064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6671540124 + ... + 6671609124.

It is an arithmetic number, because the mean of its divisors is an integer number (3760220518740).

Almost surely, 2^{460345320630624} is an apocalyptic number.

460345320630624 is a gapful number since it is divisible by the number (44) 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 460345320630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721962339598080).

460345320630624 is an abundant number, since it is smaller than the sum of its proper divisors (983579358565536).

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

460345320630624 is a wasteful number, since it uses less digits than its factorization.

460345320630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77334 (or 77326 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 460345320630624 in words is "four hundred sixty trillion, three hundred forty-five billion, three hundred twenty million, six hundred thirty thousand, six hundred twenty-four".