946294272 has 480 divisors, whose sum is σ = 3582627840. Its totient is φ = 243855360.

The previous prime is 946294253. The next prime is 946294289. The reversal of 946294272 is 272492649.

It is a happy number.

946294272 is a `hidden beast` number, since 94 + 6 + 294 + 272 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7451073 + ... + 7451199.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^946294272 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 946294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791313920).

946294272 is an abundant number, since it is smaller than the sum of its proper divisors (2636333568).

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

946294272 is a wasteful number, since it uses less digits than its factorization.

946294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 946294272 is about 30761.8964304869. The cubic root of 946294272 is about 981.7676939246.

The spelling of 946294272 in words is "nine hundred forty-six million, two hundred ninety-four thousand, two hundred seventy-two".