460511307256 has 384 divisors, whose sum is σ = 1259366572800. Its totient is φ = 154726225920.

The previous prime is 460511307247. The next prime is 460511307257. The reversal of 460511307256 is 652703115064.

It is a super-2 number, since 2×460511307256² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460511307257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77746711 + ... + 77752633.

It is an arithmetic number, because the mean of its divisors is an integer number (3279600450).

Almost surely, 2^460511307256 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 460511307256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629683286400).

460511307256 is an abundant number, since it is smaller than the sum of its proper divisors (798855265544).

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

460511307256 is a wasteful number, since it uses less digits than its factorization.

460511307256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

It can be divided in two parts, 460511 and 307256, that added together give a palindrome (767767).

The spelling of 460511307256 in words is "four hundred sixty billion, five hundred eleven million, three hundred seven thousand, two hundred fifty-six".