412050300480 has 896 divisors, whose sum is σ = 1883303116800. Its totient is φ = 82359410688.

The previous prime is 412050300451. The next prime is 412050300503. The reversal of 412050300480 is 84003050214.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14924769 + ... + 14952351.

It is an arithmetic number, because the mean of its divisors is an integer number (2101900800).

Almost surely, 2^412050300480 is an apocalyptic number.

412050300480 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 412050300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941651558400).

412050300480 is an abundant number, since it is smaller than the sum of its proper divisors (1471252816320).

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

412050300480 is a wasteful number, since it uses less digits than its factorization.

412050300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27648 (or 27632 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 412050300480 its reverse (84003050214), we get a palindrome (496053350694).

The spelling of 412050300480 in words is "four hundred twelve billion, fifty million, three hundred thousand, four hundred eighty".