479850448896000 has 7200 divisors, whose sum is σ = 2369140290316800. Its totient is φ = 95513267404800.

The previous prime is 479850448895999. The next prime is 479850448896031. The reversal of 479850448896000 is 698844058974.

479850448896000 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 5 + 0 + 4 + 4 + 8 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 479850448896000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2007742463881 + ... + 2007742464119.

It is an arithmetic number, because the mean of its divisors is an integer number (329047262544).

Almost surely, 2^{479850448896000} is an apocalyptic number.

479850448896000 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 479850448896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184570145158400).

479850448896000 is an abundant number, since it is smaller than the sum of its proper divisors (1889289841420800).

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

479850448896000 is a wasteful number, since it uses less digits than its factorization.

479850448896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 479850448896000 in words is "four hundred seventy-nine trillion, eight hundred fifty billion, four hundred forty-eight million, eight hundred ninety-six thousand".