480629196115200 has 1512 divisors, whose sum is σ = 1982505091240800. Its totient is φ = 114317103513600.

The previous prime is 480629196115177. The next prime is 480629196115217. The reversal of 480629196115200 is 2511691926084.

480629196115200 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 2 + 9 + 19 + 611 + 5 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×480629196115200³ (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2719956451 + ... + 2720133149.

It is an arithmetic number, because the mean of its divisors is an integer number (1311180615900).

Almost surely, 2^{480629196115200} is an apocalyptic number.

480629196115200 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 480629196115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991252545620400).

480629196115200 is an abundant number, since it is smaller than the sum of its proper divisors (1501875895125600).

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

480629196115200 is a wasteful number, since it uses less digits than its factorization.

480629196115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176807 (or 176773 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 480629196115200 in words is "four hundred eighty trillion, six hundred twenty-nine billion, one hundred ninety-six million, one hundred fifteen thousand, two hundred".