460042017120 has 576 divisors, whose sum is σ = 1827977808384. Its totient is φ = 103185653760.

The previous prime is 460042017119. The next prime is 460042017151. The reversal of 460042017120 is 21710240064.

460042017120 is a `hidden beast` number, since 4 + 600 + 4 + 20 + 17 + 1 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155260759 + ... + 155263721.

It is an arithmetic number, because the mean of its divisors is an integer number (3173572584).

Almost surely, 2^460042017120 is an apocalyptic number.

460042017120 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 460042017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913988904192).

460042017120 is an abundant number, since it is smaller than the sum of its proper divisors (1367935791264).

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

460042017120 is a wasteful number, since it uses less digits than its factorization.

460042017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 460042017120 its reverse (21710240064), we get a palindrome (481752257184).

The spelling of 460042017120 in words is "four hundred sixty billion, forty-two million, seventeen thousand, one hundred twenty".