945930240 has 180 divisors, whose sum is σ = 3281680584. Its totient is φ = 252051456.

The previous prime is 945930221. The next prime is 945930241. The reversal of 945930240 is 42039549.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 945930195 and 945930204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945930241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736639 + ... + 737921.

Almost surely, 2^945930240 is an apocalyptic number.

945930240 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 945930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640840292).

945930240 is an abundant number, since it is smaller than the sum of its proper divisors (2335750344).

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

945930240 is a wasteful number, since it uses less digits than its factorization.

945930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 945930240 is about 30755.9789309331. The cubic root of 945930240 is about 981.6417849952.

Adding to 945930240 its reverse (42039549), we get a palindrome (987969789).

The spelling of 945930240 in words is "nine hundred forty-five million, nine hundred thirty thousand, two hundred forty".