948401984 has 56 divisors (see below), whose sum is σ = 2020156488. Its totient is φ = 440156160.

The previous prime is 948401977. The next prime is 948402011. The reversal of 948401984 is 489104849.

It can be written as a sum of positive squares in 4 ways, for example, as 179560000 + 768841984 = 13400^2 + 27728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73454 + ... + 85394.

It is an arithmetic number, because the mean of its divisors is an integer number (36074223).

Almost surely, 2^948401984 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 948401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010078244).

948401984 is an abundant number, since it is smaller than the sum of its proper divisors (1071754504).

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

948401984 is a wasteful number, since it uses less digits than its factorization.

948401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12043 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 948401984 is about 30796.1358615005. The cubic root of 948401984 is about 982.4960611220.

The spelling of 948401984 in words is "nine hundred forty-eight million, four hundred one thousand, nine hundred eighty-four".