948400404 has 96 divisors (see below), whose sum is σ = 2596478976. Its totient is φ = 263811840.

The previous prime is 948400363. The next prime is 948400429. The reversal of 948400404 is 404004849.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919369 + ... + 920399.

It is an arithmetic number, because the mean of its divisors is an integer number (27046656).

Almost surely, 2^948400404 is an apocalyptic number.

948400404 is a gapful number since it is divisible by the number (94) 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 948400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298239488).

948400404 is an abundant number, since it is smaller than the sum of its proper divisors (1648078572).

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

948400404 is a wasteful number, since it uses less digits than its factorization.

948400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 948400404 is about 30796.1102089209. The cubic root of 948400404 is about 982.4955155219.

The spelling of 948400404 in words is "nine hundred forty-eight million, four hundred thousand, four hundred four".