427448448 has 128 divisors (see below), whose sum is σ = 1441872000. Its totient is φ = 122121216.

The previous prime is 427448447. The next prime is 427448467. The reversal of 427448448 is 844844724.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427448447) 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, 15358 + ... + 33026.

It is an arithmetic number, because the mean of its divisors is an integer number (11264625).

Almost surely, 2^427448448 is an apocalyptic number.

427448448 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 427448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720936000).

427448448 is an abundant number, since it is smaller than the sum of its proper divisors (1014423552).

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

427448448 is a wasteful number, since it uses less digits than its factorization.

427448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17699 (or 17681 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The square root of 427448448 is about 20674.8264321614. The cubic root of 427448448 is about 753.2883453090.

The spelling of 427448448 in words is "four hundred twenty-seven million, four hundred forty-eight thousand, four hundred forty-eight".