480874800000 has 1536 divisors, whose sum is σ = 2019470745600. Its totient is φ = 98841600000.

The previous prime is 480874799989. The next prime is 480874800047. The reversal of 480874800000 is 8478084.

It is a super-3 number, since 3×480874800000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3670799935 + ... + 3670800065.

It is an arithmetic number, because the mean of its divisors is an integer number (1314759600).

Almost surely, 2^480874800000 is an apocalyptic number.

480874800000 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 480874800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009735372800).

480874800000 is an abundant number, since it is smaller than the sum of its proper divisors (1538595945600).

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

480874800000 is a wasteful number, since it uses less digits than its factorization.

480874800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

It can be divided in two parts, 480 and 874800000, that multiplied together give a square (419904000000 = 648000²).

The spelling of 480874800000 in words is "four hundred eighty billion, eight hundred seventy-four million, eight hundred thousand".