427123968 has 72 divisors (see below), whose sum is σ = 1161057408. Its totient is φ = 139333632.

The previous prime is 427123927. The next prime is 427124011. The reversal of 427123968 is 869321724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30180 + ... + 42012.

Almost surely, 2^427123968 is an apocalyptic number.

427123968 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 427123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580528704).

427123968 is an abundant number, since it is smaller than the sum of its proper divisors (733933440).

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

427123968 is a wasteful number, since it uses less digits than its factorization.

427123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899 (or 11885 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 427123968 is about 20666.9777180893. The cubic root of 427123968 is about 753.0976877155.

The spelling of 427123968 in words is "four hundred twenty-seven million, one hundred twenty-three thousand, nine hundred sixty-eight".