460439070000 has 800 divisors, whose sum is σ = 1909162472448. Its totient is φ = 92911104000.

The previous prime is 460439069989. The next prime is 460439070001. The reversal of 460439070000 is 70934064.

It is not an unprimeable number, because it can be changed into a prime (460439070001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62786334 + ... + 62793666.

Almost surely, 2^460439070000 is an apocalyptic number.

460439070000 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 460439070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954581236224).

460439070000 is an abundant number, since it is smaller than the sum of its proper divisors (1448723402448).

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

460439070000 is a wasteful number, since it uses less digits than its factorization.

460439070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 460439070000 in words is "four hundred sixty billion, four hundred thirty-nine million, seventy thousand".