460008420024 has 64 divisors (see below), whose sum is σ = 1225554416640. Its totient is φ = 143548718720.

The previous prime is 460008420023. The next prime is 460008420031. The reversal of 460008420024 is 420024800064.

It is a junction number, because it is equal to n+sod(n) for n = 460008419973 and 460008420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460008420023) 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, 8839467 + ... + 8891354.

It is an arithmetic number, because the mean of its divisors is an integer number (19149287760).

Almost surely, 2^460008420024 is an apocalyptic number.

It is an amenable number.

460008420024 is an abundant number, since it is smaller than the sum of its proper divisors (765545996616).

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

460008420024 is a wasteful number, since it uses less digits than its factorization.

460008420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17730900 (or 17730896 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 460008420024 in words is "four hundred sixty billion, eight million, four hundred twenty thousand, twenty-four".