480777874000 has 80 divisors (see below), whose sum is σ = 1165171138560. Its totient is φ = 191872732800.

The previous prime is 480777873971. The next prime is 480777874019. The reversal of 480777874000 is 478777084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480777874000³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604209 + ... + 1151791.

It is an arithmetic number, because the mean of its divisors is an integer number (14564639232).

Almost surely, 2^480777874000 is an apocalyptic number.

480777874000 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 480777874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582585569280).

480777874000 is an abundant number, since it is smaller than the sum of its proper divisors (684393264560).

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

480777874000 is a wasteful number, since it uses less digits than its factorization.

480777874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548045 (or 548029 counting only the distinct ones).

The product of its (nonzero) digits is 2458624, while the sum is 52.

The spelling of 480777874000 in words is "four hundred eighty billion, seven hundred seventy-seven million, eight hundred seventy-four thousand".