427695840 has 576 divisors, whose sum is σ = 1796401152. Its totient is φ = 91238400.

The previous prime is 427695823. The next prime is 427695881. The reversal of 427695840 is 48596724.

It is a happy number.

427695840 is a `hidden beast` number, since 4 + 2 + 7 + 69 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383487 + ... + 6383553.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2^427695840 is an apocalyptic number.

427695840 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 427695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898200576).

427695840 is an abundant number, since it is smaller than the sum of its proper divisors (1368705312).

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

427695840 is a wasteful number, since it uses less digits than its factorization.

427695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 427695840 is about 20680.8084948340. The cubic root of 427695840 is about 753.4336428066.

The spelling of 427695840 in words is "four hundred twenty-seven million, six hundred ninety-five thousand, eight hundred forty".