480681066182400 has 1620 divisors, whose sum is σ = 1817011362157992. Its totient is φ = 125376491520000.

The previous prime is 480681066182371. The next prime is 480681066182419. The reversal of 480681066182400 is 4281660186084.

It is a happy number.

480681066182400 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 8 + 10 + 6 + 618 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-3 number, since 3×480681066182400³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 407011909810 + ... + 407011910990.

Almost surely, 2^{480681066182400} is an apocalyptic number.

480681066182400 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 480681066182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908505681078996).

480681066182400 is an abundant number, since it is smaller than the sum of its proper divisors (1336330295975592).

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

480681066182400 is a wasteful number, since it uses less digits than its factorization.

480681066182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 480681066182400 in words is "four hundred eighty trillion, six hundred eighty-one billion, sixty-six million, one hundred eighty-two thousand, four hundred".