427635840 has 128 divisors (see below), whose sum is σ = 1382728320. Its totient is φ = 112394240.

The previous prime is 427635839. The next prime is 427635877. The reversal of 427635840 is 48536724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134752 + ... + 137888.

It is an arithmetic number, because the mean of its divisors is an integer number (10802565).

Almost surely, 2^427635840 is an apocalyptic number.

427635840 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 427635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691364160).

427635840 is an abundant number, since it is smaller than the sum of its proper divisors (955092480).

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

427635840 is a wasteful number, since it uses less digits than its factorization.

427635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 427635840 is about 20679.3578236850. The cubic root of 427635840 is about 753.3984089414.

The spelling of 427635840 in words is "four hundred twenty-seven million, six hundred thirty-five thousand, eight hundred forty".