945538440 has 256 divisors, whose sum is σ = 3651747840. Its totient is φ = 190080000.

The previous prime is 945538423. The next prime is 945538463. The reversal of 945538440 is 44835549.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 945538392 and 945538401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284790 + ... + 288090.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^945538440 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 945538440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825873920).

945538440 is an abundant number, since it is smaller than the sum of its proper divisors (2706209400).

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

945538440 is a wasteful number, since it uses less digits than its factorization.

945538440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 945538440 is about 30749.6087779991. The cubic root of 945538440 is about 981.5062357591.

It can be divided in two parts, 9455 and 38440, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 945538440 in words is "nine hundred forty-five million, five hundred thirty-eight thousand, four hundred forty".