480430201460 has 96 divisors (see below), whose sum is σ = 1126070926848. Its totient is φ = 170675809280.

The previous prime is 480430201429. The next prime is 480430201483. The reversal of 480430201460 is 64102034084.

It is a super-2 number, since 2×480430201460² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5717672 + ... + 5801088.

It is an arithmetic number, because the mean of its divisors is an integer number (11729905488).

Almost surely, 2^480430201460 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 480430201460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563035463424).

480430201460 is an abundant number, since it is smaller than the sum of its proper divisors (645640725388).

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

480430201460 is a wasteful number, since it uses less digits than its factorization.

480430201460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84041 (or 84039 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 480430201460 in words is "four hundred eighty billion, four hundred thirty million, two hundred one thousand, four hundred sixty".