460307971600 has 45 divisors (see below), whose sum is σ = 1105922502733. Its totient is φ = 184117760960.

The previous prime is 460307971583. The next prime is 460307971601. The reversal of 460307971600 is 6179703064.

The square root of 460307971600 is 678460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165710869776 + 294597101824 = 407076^2 + 542768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460307971601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13552239 + ... + 13586161.

Almost surely, 2^460307971600 is an apocalyptic number.

460307971600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

460307971600 is the 678460-th square number.

It is an amenable number.

460307971600 is an abundant number, since it is smaller than the sum of its proper divisors (645614531133).

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

460307971600 is an frugal number, since it uses more digits than its factorization.

460307971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67864 (or 33930 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 460307971600 in words is "four hundred sixty billion, three hundred seven million, nine hundred seventy-one thousand, six hundred".