427768704 has 96 divisors (see below), whose sum is σ = 1342893240. Its totient is φ = 129623040.

The previous prime is 427768657. The next prime is 427768727. The reversal of 427768704 is 407867724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 427768704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4207 + ... + 29550.

Almost surely, 2^427768704 is an apocalyptic number.

427768704 is a gapful number since it is divisible by the number (44) 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 427768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671446620).

427768704 is an abundant number, since it is smaller than the sum of its proper divisors (915124536).

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

427768704 is a wasteful number, since it uses less digits than its factorization.

427768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33788 (or 33773 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 427768704 is about 20682.5700530664. The cubic root of 427768704 is about 753.4764263820.

The spelling of 427768704 in words is "four hundred twenty-seven million, seven hundred sixty-eight thousand, seven hundred four".