460650025800 has 288 divisors, whose sum is σ = 1629401217600. Its totient is φ = 116305943040.

The previous prime is 460650025783. The next prime is 460650025807. The reversal of 460650025800 is 8520056064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460650025807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83342637 + ... + 83348163.

Almost surely, 2^460650025800 is an apocalyptic number.

460650025800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460650025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814700608800).

460650025800 is an abundant number, since it is smaller than the sum of its proper divisors (1168751191800).

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

460650025800 is a wasteful number, since it uses less digits than its factorization.

460650025800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 460650025800 in words is "four hundred sixty billion, six hundred fifty million, twenty-five thousand, eight hundred".