480838261554 has 144 divisors (see below), whose sum is σ = 1259125908768. Its totient is φ = 137127489408.

The previous prime is 480838261549. The next prime is 480838261571. The reversal of 480838261554 is 455162838084.

480838261554 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 3 + 82 + 6 + 1 + 554 = 666.

480838261554 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480838261554³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 480838261554.

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, 13007802 + ... + 13044714.

It is an arithmetic number, because the mean of its divisors is an integer number (8743929922).

Almost surely, 2^480838261554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480838261554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629562954384).

480838261554 is an abundant number, since it is smaller than the sum of its proper divisors (778287647214).

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

480838261554 is a wasteful number, since it uses less digits than its factorization.

480838261554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37491 (or 37472 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 480838261554 in words is "four hundred eighty billion, eight hundred thirty-eight million, two hundred sixty-one thousand, five hundred fifty-four".