428405760 has 220 divisors, whose sum is σ = 1536650148. Its totient is φ = 114130944.

The previous prime is 428405759. The next prime is 428405779. The reversal of 428405760 is 67504824.

428405760 is a `hidden beast` number, since 4 + 2 + 84 + 0 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308634624 + 119771136 = 17568^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414204 + ... + 415236.

Almost surely, 2^428405760 is an apocalyptic number.

428405760 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 428405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768325074).

428405760 is an abundant number, since it is smaller than the sum of its proper divisors (1108244388).

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

428405760 is a wasteful number, since it uses less digits than its factorization.

428405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 428405760 is about 20697.9651173733. The cubic root of 428405760 is about 753.8502799676.

The spelling of 428405760 in words is "four hundred twenty-eight million, four hundred five thousand, seven hundred sixty".