479122308403200 has 5616 divisors, whose sum is σ = 2265813218672640. Its totient is φ = 98222152089600.

The previous prime is 479122308403183. The next prime is 479122308403201. The reversal of 479122308403200 is 2304803221974.

479122308403200 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 2 + 2 + 30 + 8 + 403 + 200 = 666.

It is a super-2 number, since 2×479122308403200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (479122308403201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2676660940711 + ... + 2676660940889.

Almost surely, 2^{479122308403200} is an apocalyptic number.

479122308403200 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 479122308403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132906609336320).

479122308403200 is an abundant number, since it is smaller than the sum of its proper divisors (1786690910269440).

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

479122308403200 is a wasteful number, since it uses less digits than its factorization.

479122308403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 479122308403200 in words is "four hundred seventy-nine trillion, one hundred twenty-two billion, three hundred eight million, four hundred three thousand, two hundred".