427903104 has 128 divisors (see below), whose sum is σ = 1206374400. Its totient is φ = 134009856.

The previous prime is 427903081. The next prime is 427903121. The reversal of 427903104 is 401309724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1626877 + ... + 1627139.

It is an arithmetic number, because the mean of its divisors is an integer number (9424800).

Almost surely, 2^427903104 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 427903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200).

427903104 is an abundant number, since it is smaller than the sum of its proper divisors (778471296).

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

427903104 is a wasteful number, since it uses less digits than its factorization.

427903104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 427903104 is about 20685.8189105484. The cubic root of 427903104 is about 753.5553293241. Note that the first 3 decimals are identical.

The spelling of 427903104 in words is "four hundred twenty-seven million, nine hundred three thousand, one hundred four".