427823820 has 72 divisors (see below), whose sum is σ = 1299654720. Its totient is φ = 113917440.

The previous prime is 427823761. The next prime is 427823821. The reversal of 427823820 is 28328724.

427823820 is a `hidden beast` number, since 4 + 278 + 2 + 382 + 0 = 666.

It is a super-3 number, since 3×427823820³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (427823821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162676 + ... + 165284.

It is an arithmetic number, because the mean of its divisors is an integer number (18050760).

Almost surely, 2^427823820 is an apocalyptic number.

It is an amenable number.

427823820 is an abundant number, since it is smaller than the sum of its proper divisors (871830900).

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

427823820 is a wasteful number, since it uses less digits than its factorization.

427823820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 427823820 is about 20683.9024364359. The cubic root of 427823820 is about 753.5087856320.

The spelling of 427823820 in words is "four hundred twenty-seven million, eight hundred twenty-three thousand, eight hundred twenty".