427747840 has 80 divisors (see below), whose sum is σ = 1104569928. Its totient is φ = 157925376.

The previous prime is 427747783. The next prime is 427747841. The reversal of 427747840 is 48747724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 210598144 + 217149696 = 14512^2 + 14736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (427747841) 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, 26854 + ... + 39706.

Almost surely, 2^427747840 is an apocalyptic number.

427747840 is a gapful number since it is divisible by the number (40) 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 427747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552284964).

427747840 is an abundant number, since it is smaller than the sum of its proper divisors (676822088).

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

427747840 is a wasteful number, since it uses less digits than its factorization.

427747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 43.

The square root of 427747840 is about 20682.0656608570. The cubic root of 427747840 is about 753.4641761577.

The spelling of 427747840 in words is "four hundred twenty-seven million, seven hundred forty-seven thousand, eight hundred forty".