944250120 has 288 divisors, whose sum is σ = 3445205400. Its totient is φ = 224040960.

The previous prime is 944250103. The next prime is 944250161. The reversal of 944250120 is 21052449.

It can be written as a sum of positive squares in 4 ways, for example, as 933791364 + 10458756 = 30558^2 + 3234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2308476 + ... + 2308884.

Almost surely, 2^944250120 is an apocalyptic number.

944250120 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 944250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722602700).

944250120 is an abundant number, since it is smaller than the sum of its proper divisors (2500955280).

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

944250120 is a wasteful number, since it uses less digits than its factorization.

944250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 944250120 is about 30728.6530781940. The cubic root of 944250120 is about 981.0602574688.

The spelling of 944250120 in words is "nine hundred forty-four million, two hundred fifty thousand, one hundred twenty".