479946424320 has 1440 divisors, whose sum is σ = 1978577362944. Its totient is φ = 106404249600.

The previous prime is 479946424273. The next prime is 479946424357. The reversal of 479946424320 is 23424649974.

479946424320 is a `hidden beast` number, since 47 + 99 + 46 + 42 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5782486999 + ... + 5782487081.

Almost surely, 2^479946424320 is an apocalyptic number.

479946424320 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 479946424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989288681472).

479946424320 is an abundant number, since it is smaller than the sum of its proper divisors (1498630938624).

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

479946424320 is a wasteful number, since it uses less digits than its factorization.

479946424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 479946424320 in words is "four hundred seventy-nine billion, nine hundred forty-six million, four hundred twenty-four thousand, three hundred twenty".