480254201280 has 896 divisors, whose sum is σ = 1985497436160. Its totient is φ = 107017666560.

The previous prime is 480254201267. The next prime is 480254201311. The reversal of 480254201280 is 82102452084.

480254201280 is a `hidden beast` number, since 480 + 2 + 54 + 2 + 0 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416525184 + ... + 416526336.

It is an arithmetic number, because the mean of its divisors is an integer number (2215956960).

Almost surely, 2^480254201280 is an apocalyptic number.

480254201280 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 480254201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992748718080).

480254201280 is an abundant number, since it is smaller than the sum of its proper divisors (1505243234880).

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

480254201280 is a wasteful number, since it uses less digits than its factorization.

480254201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 480254201280 in words is "four hundred eighty billion, two hundred fifty-four million, two hundred one thousand, two hundred eighty".