427515072 has 112 divisors (see below), whose sum is σ = 1158971520. Its totient is φ = 139051008.

The previous prime is 427515059. The next prime is 427515089. The reversal of 427515072 is 270515724.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215008 + ... + 2215200.

It is an arithmetic number, because the mean of its divisors is an integer number (10347960).

Almost surely, 2^427515072 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 427515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579485760).

427515072 is an abundant number, since it is smaller than the sum of its proper divisors (731456448).

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

427515072 is a wasteful number, since it uses less digits than its factorization.

427515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 427515072 is about 20676.4376041909. The cubic root of 427515072 is about 753.3274802236.

The spelling of 427515072 in words is "four hundred twenty-seven million, five hundred fifteen thousand, seventy-two".