427352320 has 72 divisors (see below), whose sum is σ = 1031537304. Its totient is φ = 169623552.

The previous prime is 427352291. The next prime is 427352339. The reversal of 427352320 is 23253724.

427352320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 276357376 = 12288^2 + 16624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174142 + ... + 176578.

It is an arithmetic number, because the mean of its divisors is an integer number (14326907).

Almost surely, 2^427352320 is an apocalyptic number.

427352320 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 427352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515768652).

427352320 is an abundant number, since it is smaller than the sum of its proper divisors (604184984).

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

427352320 is a wasteful number, since it uses less digits than its factorization.

427352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 427352320 is about 20672.5015419034. The cubic root of 427352320 is about 753.2318725879.

The spelling of 427352320 in words is "four hundred twenty-seven million, three hundred fifty-two thousand, three hundred twenty".