944952480 has 240 divisors, whose sum is σ = 3531888360. Its totient is φ = 237109248.

The previous prime is 944952467. The next prime is 944952527. The reversal of 944952480 is 84259449.

944952480 is a `hidden beast` number, since 9 + 4 + 49 + 524 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 942981264 + 1971216 = 30708^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 218176 + ... + 222464.

Almost surely, 2^944952480 is an apocalyptic number.

944952480 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 944952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765944180).

944952480 is an abundant number, since it is smaller than the sum of its proper divisors (2586935880).

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

944952480 is a wasteful number, since it uses less digits than its factorization.

944952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 944952480 is about 30740.0793753042. The cubic root of 944952480 is about 981.3034439903.

The spelling of 944952480 in words is "nine hundred forty-four million, nine hundred fifty-two thousand, four hundred eighty".