427408272 has 160 divisors (see below), whose sum is σ = 1281168000. Its totient is φ = 136304640.

The previous prime is 427408259. The next prime is 427408291. The reversal of 427408272 is 272804724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044804 + ... + 1045212.

It is an arithmetic number, because the mean of its divisors is an integer number (8007300).

Almost surely, 2^427408272 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 427408272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640584000).

427408272 is an abundant number, since it is smaller than the sum of its proper divisors (853759728).

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

427408272 is a wasteful number, since it uses less digits than its factorization.

427408272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 427408272 is about 20673.8547929504. The cubic root of 427408272 is about 753.2647439750.

The spelling of 427408272 in words is "four hundred twenty-seven million, four hundred eight thousand, two hundred seventy-two".