427743168 has 56 divisors (see below), whose sum is σ = 1134343680. Its totient is φ = 142252800.

The previous prime is 427743149. The next prime is 427743187. The reversal of 427743168 is 861347724.

It is an interprime number because it is at equal distance from previous prime (427743149) and next prime (427743187).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 89643 + ... + 94293.

Almost surely, 2^427743168 is an apocalyptic number.

427743168 is a gapful number since it is divisible by the number (48) 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 427743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567171840).

427743168 is an abundant number, since it is smaller than the sum of its proper divisors (706600512).

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

427743168 is a wasteful number, since it uses less digits than its factorization.

427743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 427743168 is about 20681.9527124496. The cubic root of 427743168 is about 753.4614329547.

The spelling of 427743168 in words is "four hundred twenty-seven million, seven hundred forty-three thousand, one hundred sixty-eight".