427015120 has 160 divisors (see below), whose sum is σ = 1214208000. Its totient is φ = 136401408.

The previous prime is 427015109. The next prime is 427015133. The reversal of 427015120 is 21510724.

It is a happy number.

It is a super-2 number, since 2×427015120² = 364683825417228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 427015091 and 427015100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712581 + ... + 713179.

It is an arithmetic number, because the mean of its divisors is an integer number (7588800).

Almost surely, 2^427015120 is an apocalyptic number.

427015120 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 427015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

427015120 is an abundant number, since it is smaller than the sum of its proper divisors (787192880).

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

427015120 is a wasteful number, since it uses less digits than its factorization.

427015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 427015120 is about 20664.3441705756. The cubic root of 427015120 is about 753.0337093021.

Adding to 427015120 its reverse (21510724), we get a palindrome (448525844).

The spelling of 427015120 in words is "four hundred twenty-seven million, fifteen thousand, one hundred twenty".