427024300 has 72 divisors (see below), whose sum is σ = 950407920. Its totient is φ = 166483200.

The previous prime is 427024291. The next prime is 427024327. The reversal of 427024300 is 3420724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926070 + ... + 926530.

It is an arithmetic number, because the mean of its divisors is an integer number (13200110).

Almost surely, 2^427024300 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 427024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475203960).

427024300 is an abundant number, since it is smaller than the sum of its proper divisors (523383620).

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

427024300 is a wasteful number, since it uses less digits than its factorization.

427024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 427024300 is about 20664.5662911177. The cubic root of 427024300 is about 753.0391055200.

The spelling of 427024300 in words is "four hundred twenty-seven million, twenty-four thousand, three hundred".