427375920 has 240 divisors, whose sum is σ = 1462808160. Its totient is φ = 102850560.

The previous prime is 427375901. The next prime is 427375967. The reversal of 427375920 is 29573724.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3920826 + ... + 3920934.

It is an arithmetic number, because the mean of its divisors is an integer number (6095034).

Almost surely, 2^427375920 is an apocalyptic number.

427375920 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 427375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731404080).

427375920 is an abundant number, since it is smaller than the sum of its proper divisors (1035432240).

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

427375920 is a wasteful number, since it uses less digits than its factorization.

427375920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 427375920 is about 20673.0723406077. The cubic root of 427375920 is about 753.2457377636.

The spelling of 427375920 in words is "four hundred twenty-seven million, three hundred seventy-five thousand, nine hundred twenty".