484087680 has 192 divisors, whose sum is σ = 1683489600. Its totient is φ = 128176128.

The previous prime is 484087657. The next prime is 484087717. The reversal of 484087680 is 86780484.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1318857 + ... + 1319223.

It is an arithmetic number, because the mean of its divisors is an integer number (8768175).

Almost surely, 2^484087680 is an apocalyptic number.

484087680 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 484087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841744800).

484087680 is an abundant number, since it is smaller than the sum of its proper divisors (1199401920).

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

484087680 is a wasteful number, since it uses less digits than its factorization.

484087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 484087680 is about 22001.9926370318. The cubic root of 484087680 is about 785.1898495475.

The spelling of 484087680 in words is "four hundred eighty-four million, eighty-seven thousand, six hundred eighty".