427138336 has 96 divisors (see below), whose sum is σ = 919876608. Its totient is φ = 194641920.

The previous prime is 427138321. The next prime is 427138337. The reversal of 427138336 is 633831724.

It is a junction number, because it is equal to n+sod(n) for n = 427138295 and 427138304.

It is not an unprimeable number, because it can be changed into a prime (427138337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213056 + ... + 2213248.

It is an arithmetic number, because the mean of its divisors is an integer number (9582048).

Almost surely, 2^427138336 is an apocalyptic number.

427138336 is a gapful number since it is divisible by the number (46) 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 427138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459938304).

427138336 is an abundant number, since it is smaller than the sum of its proper divisors (492738272).

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

427138336 is a wasteful number, since it uses less digits than its factorization.

427138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 427138336 is about 20667.3253228375. The cubic root of 427138336 is about 753.1061320916.

The spelling of 427138336 in words is "four hundred twenty-seven million, one hundred thirty-eight thousand, three hundred thirty-six".