955078272 has 192 divisors, whose sum is σ = 2864239560. Its totient is φ = 305233920.

The previous prime is 955078247. The next prime is 955078273. The reversal of 955078272 is 272870559.

It is a happy number.

955078272 is a `hidden beast` number, since 9 + 550 + 78 + 27 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 445041216 + 510037056 = 21096^2 + 22584^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (955078273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3447798 + ... + 3448074.

Almost surely, 2^955078272 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 955078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432119780).

955078272 is an abundant number, since it is smaller than the sum of its proper divisors (1909161288).

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

955078272 is a wasteful number, since it uses less digits than its factorization.

955078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 955078272 is about 30904.3406659971. The cubic root of 955078272 is about 984.7961037073.

The spelling of 955078272 in words is "nine hundred fifty-five million, seventy-eight thousand, two hundred seventy-two".