427820864 has 28 divisors (see below), whose sum is σ = 858507300. Its totient is φ = 211504128.

The previous prime is 427820843. The next prime is 427820873. The reversal of 427820864 is 468028724.

It can be written as a sum of positive squares in 2 ways, for example, as 237160000 + 190660864 = 15400^2 + 13808^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31859 + ... + 43250.

It is an arithmetic number, because the mean of its divisors is an integer number (30660975).

Almost surely, 2^427820864 is an apocalyptic number.

It is an amenable number.

427820864 is an abundant number, since it is smaller than the sum of its proper divisors (430686436).

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

427820864 is an equidigital number, since it uses as much as digits as its factorization.

427820864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75210 (or 75200 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 427820864 is about 20683.8309797774. The cubic root of 427820864 is about 753.5070502002.

The spelling of 427820864 in words is "four hundred twenty-seven million, eight hundred twenty thousand, eight hundred sixty-four".