427401216 has 336 divisors, whose sum is σ = 1472110848. Its totient is φ = 117964800.

The previous prime is 427401211. The next prime is 427401223. The reversal of 427401216 is 612104724.

427401216 is a `hidden beast` number, since 42 + 7 + 401 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 427401216.

It is not an unprimeable number, because it can be changed into a prime (427401211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13787121 + ... + 13787151.

Almost surely, 2^427401216 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 427401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736055424).

427401216 is an abundant number, since it is smaller than the sum of its proper divisors (1044709632).

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

427401216 is a wasteful number, since it uses less digits than its factorization.

427401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 427401216 is about 20673.6841419230. The cubic root of 427401216 is about 753.2605987852.

It can be divided in two parts, 42740 and 1216, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 427401216 in words is "four hundred twenty-seven million, four hundred one thousand, two hundred sixteen".