427972608 has 288 divisors, whose sum is σ = 1471841280. Its totient is φ = 117227520.

The previous prime is 427972583. The next prime is 427972619. The reversal of 427972608 is 806279724.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999691 + ... + 3999797.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2^427972608 is an apocalyptic number.

427972608 is a gapful number since it is divisible by the number (48) 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 427972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640).

427972608 is an abundant number, since it is smaller than the sum of its proper divisors (1043868672).

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

427972608 is a wasteful number, since it uses less digits than its factorization.

427972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 427972608 is about 20687.4988338368. The cubic root of 427972608 is about 753.5961269359.

The spelling of 427972608 in words is "four hundred twenty-seven million, nine hundred seventy-two thousand, six hundred eight".