954834048 has 256 divisors, whose sum is σ = 3334176000. Its totient is φ = 263208960.

The previous prime is 954834043. The next prime is 954834071. The reversal of 954834048 is 840438459.

It is a happy number.

954834048 is a `hidden beast` number, since 95 + 483 + 40 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 954833994 and 954834012.

It is not an unprimeable number, because it can be changed into a prime (954834043) by changing a digit.

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, 700888 + ... + 702248.

It is an arithmetic number, because the mean of its divisors is an integer number (13024125).

Almost surely, 2^954834048 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 954834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667088000).

954834048 is an abundant number, since it is smaller than the sum of its proper divisors (2379341952).

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

954834048 is a wasteful number, since it uses less digits than its factorization.

954834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 954834048 is about 30900.3891237635. The cubic root of 954834048 is about 984.7121554928.

The spelling of 954834048 in words is "nine hundred fifty-four million, eight hundred thirty-four thousand, forty-eight".