944948160 has 448 divisors, whose sum is σ = 3686860800. Its totient is φ = 226381824.

The previous prime is 944948131. The next prime is 944948167. The reversal of 944948160 is 61849449.

944948160 is a `hidden beast` number, since 9 + 449 + 48 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (944948167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5278951 + ... + 5279129.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^944948160 is an apocalyptic number.

944948160 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 944948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

944948160 is an abundant number, since it is smaller than the sum of its proper divisors (2741912640).

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

944948160 is a wasteful number, since it uses less digits than its factorization.

944948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 944948160 is about 30740.0091086519. The cubic root of 944948160 is about 981.3019485933.

The spelling of 944948160 in words is "nine hundred forty-four million, nine hundred forty-eight thousand, one hundred sixty".