460145127200 has 144 divisors (see below), whose sum is σ = 1264981536000. Its totient is φ = 161927808000.

The previous prime is 460145127163. The next prime is 460145127271. The reversal of 460145127200 is 2721541064.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570575 + ... + 1116174.

It is an arithmetic number, because the mean of its divisors is an integer number (8784594000).

Almost surely, 2^460145127200 is an apocalyptic number.

460145127200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460145127200 is an abundant number, since it is smaller than the sum of its proper divisors (804836408800).

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

460145127200 is a wasteful number, since it uses less digits than its factorization.

460145127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686811 (or 1686798 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 460145127200 its reverse (2721541064), we get a palindrome (462866668264).

The spelling of 460145127200 in words is "four hundred sixty billion, one hundred forty-five million, one hundred twenty-seven thousand, two hundred".