427000896 has 315 divisors, whose sum is σ = 1509208437. Its totient is φ = 119024640.

The previous prime is 427000859. The next prime is 427000909. The reversal of 427000896 is 698000724.

The square root of 427000896 is 20664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 406425600 = 4536^2 + 20160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 427000896.

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 44 ways as a sum of consecutive naturals, for example, 10414636 + ... + 10414676.

Almost surely, 2^427000896 is an apocalyptic number.

427000896 is the 20664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427000896

427000896 is an abundant number, since it is smaller than the sum of its proper divisors (1082207541).

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

427000896 is an equidigital number, since it uses as much as digits as its factorization.

427000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 427000896 is about 753.0253479507.

Multiplying 427000896 by its sum of digits (36), we get a square (15372032256 = 123984²).

427000896 divided by its sum of digits (36) gives a square (11861136 = 3444²).

The spelling of 427000896 in words is "four hundred twenty-seven million, eight hundred ninety-six", and thus it is an aban number.