427500900 has 108 divisors (see below), whose sum is σ = 1344296772. Its totient is φ = 113633280.

The previous prime is 427500889. The next prime is 427500901. The reversal of 427500900 is 9005724.

It can be written as a sum of positive squares in 6 ways, for example, as 89529444 + 337971456 = 9462^2 + 18384^2 .

It is not an unprimeable number, because it can be changed into a prime (427500901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389152 + ... + 390248.

Almost surely, 2^427500900 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 427500900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672148386).

427500900 is an abundant number, since it is smaller than the sum of its proper divisors (916795872).

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

427500900 is a wasteful number, since it uses less digits than its factorization.

427500900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 427500900 is about 20676.0948924114. The cubic root of 427500900 is about 753.3191559361.

Adding to 427500900 its product of nonzero digits (2520), we get a triangular number (427503420 = T₂₉₂₄₀).

The spelling of 427500900 in words is "four hundred twenty-seven million, five hundred thousand, nine hundred".