427630320 has 320 divisors, whose sum is σ = 1612813440. Its totient is φ = 103514112.

The previous prime is 427630319. The next prime is 427630327. The reversal of 427630320 is 23036724.

427630320 is a `hidden beast` number, since 4 + 2 + 7 + 630 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427630327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723682 + ... + 2723838.

It is an arithmetic number, because the mean of its divisors is an integer number (5040042).

Almost surely, 2^427630320 is an apocalyptic number.

427630320 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 427630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806406720).

427630320 is an abundant number, since it is smaller than the sum of its proper divisors (1185183120).

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

427630320 is a wasteful number, since it uses less digits than its factorization.

427630320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 427630320 is about 20679.2243568273. The cubic root of 427630320 is about 753.3951672603.

It can be divided in two parts, 4276 and 30320, that added together give a square (34596 = 186²).

The spelling of 427630320 in words is "four hundred twenty-seven million, six hundred thirty thousand, three hundred twenty".