427599204480 has 384 divisors, whose sum is σ = 1760862654720. Its totient is φ = 93487325184.

The previous prime is 427599204397. The next prime is 427599204523. The reversal of 427599204480 is 84402995724.

It is a happy number.

427599204480 is a `hidden beast` number, since 4 + 2 + 7 + 599 + 2 + 0 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696814 + ... + 1157906.

It is an arithmetic number, because the mean of its divisors is an integer number (4585579830).

Almost surely, 2^427599204480 is an apocalyptic number.

427599204480 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 427599204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880431327360).

427599204480 is an abundant number, since it is smaller than the sum of its proper divisors (1333263450240).

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

427599204480 is a wasteful number, since it uses less digits than its factorization.

427599204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461148 (or 461133 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 427599204480 in words is "four hundred twenty-seven billion, five hundred ninety-nine million, two hundred four thousand, four hundred eighty".