954408960 has 224 divisors, whose sum is σ = 3397178880. Its totient is φ = 254214144.

The previous prime is 954408953. The next prime is 954408979. The reversal of 954408960 is 69804459.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105489 + ... + 1106351.

Almost surely, 2^954408960 is an apocalyptic number.

954408960 is a gapful number since it is divisible by the number (90) 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 954408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698589440).

954408960 is an abundant number, since it is smaller than the sum of its proper divisors (2442769920).

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

954408960 is an equidigital number, since it uses as much as digits as its factorization.

954408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 954408960 is about 30893.5099980562. The cubic root of 954408960 is about 984.5660039337.

The spelling of 954408960 in words is "nine hundred fifty-four million, four hundred eight thousand, nine hundred sixty".