480824201088 has 576 divisors, whose sum is σ = 1802576280960. Its totient is φ = 124882560000.

The previous prime is 480824201063. The next prime is 480824201141. The reversal of 480824201088 is 880102428084.

480824201088 is a `hidden beast` number, since 48 + 0 + 82 + 420 + 108 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×480824201088³ (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 71 ways as a sum of consecutive naturals, for example, 26335963 + ... + 26354213.

It is an arithmetic number, because the mean of its divisors is an integer number (3129472710).

Almost surely, 2^480824201088 is an apocalyptic number.

480824201088 is a gapful number since it is divisible by the number (48) 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 480824201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901288140480).

480824201088 is an abundant number, since it is smaller than the sum of its proper divisors (1321752079872).

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

480824201088 is a wasteful number, since it uses less digits than its factorization.

480824201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18309 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 480824201088 in words is "four hundred eighty billion, eight hundred twenty-four million, two hundred one thousand, eighty-eight".