460051875024 has 240 divisors, whose sum is σ = 1402653081600. Its totient is φ = 129533983488.

The previous prime is 460051875007. The next prime is 460051875071. The reversal of 460051875024 is 420578150064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112783417 + ... + 112787495.

It is an arithmetic number, because the mean of its divisors is an integer number (5844387840).

Almost surely, 2^460051875024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460051875024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701326540800).

460051875024 is an abundant number, since it is smaller than the sum of its proper divisors (942601206576).

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

460051875024 is a wasteful number, since it uses less digits than its factorization.

460051875024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 460051875024 in words is "four hundred sixty billion, fifty-one million, eight hundred seventy-five thousand, twenty-four".