427600000 has 96 divisors (see below), whose sum is σ = 1065752100. Its totient is φ = 170880000.

The previous prime is 427599961. The next prime is 427600003. The reversal of 427600000 is 6724.

It can be written as a sum of positive squares in 6 ways, for example, as 56190016 + 371409984 = 7496^2 + 19272^2 .

It is not an unprimeable number, because it can be changed into a prime (427600003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399466 + ... + 400534.

Almost surely, 2^427600000 is an apocalyptic number.

427600000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532876050).

427600000 is an abundant number, since it is smaller than the sum of its proper divisors (638152100).

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

427600000 is an frugal number, since it uses more digits than its factorization.

427600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 427600000 is about 20678.4912409005. The cubic root of 427600000 is about 753.3773610070.

Adding to 427600000 its reverse (6724), we get a palindrome (427606724).

The spelling of 427600000 in words is "four hundred twenty-seven million, six hundred thousand".