427812500 has 72 divisors (see below), whose sum is σ = 961813944. Its totient is φ = 166500000.

The previous prime is 427812499. The next prime is 427812509. The reversal of 427812500 is 5218724.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 352087696 + 75724804 = 18764^2 + 8702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427812509) 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, 11562482 + ... + 11562518.

It is an arithmetic number, because the mean of its divisors is an integer number (13358527).

Almost surely, 2^427812500 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 427812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480906972).

427812500 is an abundant number, since it is smaller than the sum of its proper divisors (534001444).

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

427812500 is an frugal number, since it uses more digits than its factorization.

427812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 427812500 is about 20683.6287918731. The cubic root of 427812500 is about 753.5021397540.

The spelling of 427812500 in words is "four hundred twenty-seven million, eight hundred twelve thousand, five hundred".