427824680 has 32 divisors (see below), whose sum is σ = 964542600. Its totient is φ = 170785536.

The previous prime is 427824671. The next prime is 427824689. The reversal of 427824680 is 86428724.

It is an interprime number because it is at equal distance from previous prime (427824671) and next prime (427824689).

It can be written as a sum of positive squares in 4 ways, for example, as 257730916 + 170093764 = 16054^2 + 13042^2 .

It is not an unprimeable number, because it can be changed into a prime (427824689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9854 + ... + 30866.

Almost surely, 2^427824680 is an apocalyptic number.

427824680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427824680 is an abundant number, since it is smaller than the sum of its proper divisors (536717920).

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

427824680 is a wasteful number, since it uses less digits than its factorization.

427824680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21533 (or 21529 counting only the distinct ones).

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

The square root of 427824680 is about 20683.9232255392. The cubic root of 427824680 is about 753.5092905260.

The spelling of 427824680 in words is "four hundred twenty-seven million, eight hundred twenty-four thousand, six hundred eighty".