460435272200 has 36 divisors (see below), whose sum is σ = 1070534319495. Its totient is φ = 184170270400.

The previous prime is 460435272197. The next prime is 460435272221. The reversal of 460435272200 is 2272534064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 65651763076 + 394783509124 = 256226^2 + 628318^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=479810.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9572210 + ... + 9620190.

Almost surely, 2^460435272200 is an apocalyptic number.

460435272200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460435272200 is an abundant number, since it is smaller than the sum of its proper divisors (610099047295).

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

460435272200 is an frugal number, since it uses more digits than its factorization.

460435272200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95978 (or 47988 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 460435272200 in words is "four hundred sixty billion, four hundred thirty-five million, two hundred seventy-two thousand, two hundred".