427821576 has 256 divisors, whose sum is σ = 1393459200. Its totient is φ = 106444800.

The previous prime is 427821547. The next prime is 427821587. The reversal of 427821576 is 675128724.

It is a super-2 number, since 2×427821576² = 366062601782247552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4806940 + ... + 4807028.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^427821576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427821576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

427821576 is an abundant number, since it is smaller than the sum of its proper divisors (965637624).

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

427821576 is a wasteful number, since it uses less digits than its factorization.

427821576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 427821576 is about 20683.8481912820. The cubic root of 427821576 is about 753.5074682075.

The spelling of 427821576 in words is "four hundred twenty-seven million, eight hundred twenty-one thousand, five hundred seventy-six".