9951456 has 48 divisors (see below), whose sum is σ = 27264384. Its totient is φ = 3172224.

The previous prime is 9951449. The next prime is 9951457. The reversal of 9951456 is 6541599.

9951456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9951457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 4461.

It is an arithmetic number, because the mean of its divisors is an integer number (568008).

Almost surely, 2^9951456 is an apocalyptic number.

9951456 is a gapful number since it is divisible by the number (96) 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 9951456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632192).

9951456 is an abundant number, since it is smaller than the sum of its proper divisors (17312928).

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

9951456 is a wasteful number, since it uses less digits than its factorization.

9951456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4535 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 9951456 is about 3154.5928421906. The cubic root of 9951456 is about 215.0942871107.

The spelling of 9951456 in words is "nine million, nine hundred fifty-one thousand, four hundred fifty-six".