480619465200 has 360 divisors, whose sum is σ = 1924668781568. Its totient is φ = 108788728320.

The previous prime is 480619465181. The next prime is 480619465211. The reversal of 480619465200 is 2564916084.

480619465200 is a `hidden beast` number, since 4 + 8 + 0 + 619 + 4 + 6 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×480619465200³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2503017 + ... + 2688183.

Almost surely, 2^480619465200 is an apocalyptic number.

480619465200 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 480619465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962334390784).

480619465200 is an abundant number, since it is smaller than the sum of its proper divisors (1444049316368).

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

480619465200 is a wasteful number, since it uses less digits than its factorization.

480619465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185301 (or 185287 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 480619465200 in words is "four hundred eighty billion, six hundred nineteen million, four hundred sixty-five thousand, two hundred".