944354880 has 336 divisors, whose sum is σ = 3750015360. Its totient is φ = 213663744.

The previous prime is 944354857. The next prime is 944354909. The reversal of 944354880 is 88453449.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×944354880² = 1783612278759628800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2802072 + ... + 2802408.

It is an arithmetic number, because the mean of its divisors is an integer number (11160760).

Almost surely, 2^944354880 is an apocalyptic number.

944354880 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 944354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875007680).

944354880 is an abundant number, since it is smaller than the sum of its proper divisors (2805660480).

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

944354880 is a wasteful number, since it uses less digits than its factorization.

944354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 944354880 is about 30730.3576288985. The cubic root of 944354880 is about 981.0965374296.

The spelling of 944354880 in words is "nine hundred forty-four million, three hundred fifty-four thousand, eight hundred eighty".