427951968 has 48 divisors (see below), whose sum is σ = 1126089216. Its totient is φ = 142305920.

The previous prime is 427951963. The next prime is 427952009. The reversal of 427951968 is 869159724.

It is a Cunningham number, because it is equal to 20687²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 427951968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427951963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36205 + ... + 46547.

It is an arithmetic number, because the mean of its divisors is an integer number (23460192).

Almost surely, 2^427951968 is an apocalyptic number.

427951968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

427951968 is an abundant number, since it is smaller than the sum of its proper divisors (698137248).

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

427951968 is a wasteful number, since it uses less digits than its factorization.

427951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10779 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 427951968 is about 20686.9999758302. Note that the first 4 decimals coincide. The cubic root of 427951968 is about 753.5840120841.

The spelling of 427951968 in words is "four hundred twenty-seven million, nine hundred fifty-one thousand, nine hundred sixty-eight".