460250825608704 has 640 divisors, whose sum is σ = 1481246154178560. Its totient is φ = 125598528405504.

The previous prime is 460250825608699. The next prime is 460250825608709. The reversal of 460250825608704 is 407806528052064.

It is an interprime number because it is at equal distance from previous prime (460250825608699) and next prime (460250825608709).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460250825608709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409561639 + ... + 410683865.

It is an arithmetic number, because the mean of its divisors is an integer number (2314447115904).

Almost surely, 2^{460250825608704} 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 460250825608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740623077089280).

460250825608704 is an abundant number, since it is smaller than the sum of its proper divisors (1020995328569856).

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

460250825608704 is a wasteful number, since it uses less digits than its factorization.

460250825608704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122350 (or 1122334 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 460250825608704 in words is "four hundred sixty trillion, two hundred fifty billion, eight hundred twenty-five million, six hundred eight thousand, seven hundred four".