460597187760 has 80 divisors (see below), whose sum is σ = 1427952105216. Its totient is φ = 122817243904.

The previous prime is 460597187753. The next prime is 460597187761. The reversal of 460597187760 is 67781795064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 460597187694 and 460597187703.

It is not an unprimeable number, because it can be changed into a prime (460597187761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3796357 + ... + 3915803.

Almost surely, 2^460597187760 is an apocalyptic number.

460597187760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460597187760 is an abundant number, since it is smaller than the sum of its proper divisors (967354917456).

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

460597187760 is a wasteful number, since it uses less digits than its factorization.

460597187760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135530 (or 135524 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 460597187760 in words is "four hundred sixty billion, five hundred ninety-seven million, one hundred eighty-seven thousand, seven hundred sixty".