460257121324 has 288 divisors, whose sum is σ = 1155533008896. Its totient is φ = 157376862720.

The previous prime is 460257121279. The next prime is 460257121349. The reversal of 460257121324 is 423121752064.

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 95 ways as a sum of consecutive naturals, for example, 111521349 + ... + 111525475.

It is an arithmetic number, because the mean of its divisors is an integer number (4012267392).

Almost surely, 2^460257121324 is an apocalyptic number.

460257121324 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 460257121324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577766504448).

460257121324 is an abundant number, since it is smaller than the sum of its proper divisors (695275887572).

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

460257121324 is a wasteful number, since it uses less digits than its factorization.

460257121324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

Adding to 460257121324 its reverse (423121752064), we get a palindrome (883378873388).

It can be divided in two parts, 460257 and 121324, that added together give a triangular number (581581 = T₁₀₇₈).

The spelling of 460257121324 in words is "four hundred sixty billion, two hundred fifty-seven million, one hundred twenty-one thousand, three hundred twenty-four".