460404422506160 has 240 divisors, whose sum is σ = 1194453594362880. Its totient is φ = 163630272168960.

The previous prime is 460404422506151. The next prime is 460404422506213. The reversal of 460404422506160 is 61605224404064.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553765537 + ... + 1554061823.

It is an arithmetic number, because the mean of its divisors is an integer number (4976889976512).

Almost surely, 2^{460404422506160} is an apocalyptic number.

460404422506160 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 460404422506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597226797181440).

460404422506160 is an abundant number, since it is smaller than the sum of its proper divisors (734049171856720).

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

460404422506160 is a wasteful number, since it uses less digits than its factorization.

460404422506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296716 (or 296537 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 460404422506160 in words is "four hundred sixty trillion, four hundred four billion, four hundred twenty-two million, five hundred six thousand, one hundred sixty".