480953868204 has 144 divisors (see below), whose sum is σ = 1245003379200. Its totient is φ = 144205400064.

The previous prime is 480953868167. The next prime is 480953868229. The reversal of 480953868204 is 402868359084.

It is a happy number.

It is a super-3 number, since 3×480953868204³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 149874952 + ... + 149878160.

It is an arithmetic number, because the mean of its divisors is an integer number (8645856800).

Almost surely, 2^480953868204 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 480953868204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622501689600).

480953868204 is an abundant number, since it is smaller than the sum of its proper divisors (764049510996).

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

480953868204 is a wasteful number, since it uses less digits than its factorization.

480953868204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 480953868204 in words is "four hundred eighty billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, two hundred four".