952045440 has 128 divisors (see below), whose sum is σ = 3166732800. Its totient is φ = 242829312.

The previous prime is 952045439. The next prime is 952045481. The reversal of 952045440 is 44540259.

952045440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33381 + ... + 54939.

It is an arithmetic number, because the mean of its divisors is an integer number (24740100).

Almost surely, 2^952045440 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 952045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583366400).

952045440 is an abundant number, since it is smaller than the sum of its proper divisors (2214687360).

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

952045440 is a wasteful number, since it uses less digits than its factorization.

952045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 952045440 is about 30855.2335917264. The cubic root of 952045440 is about 983.7525982558.

Adding to 952045440 its reverse (44540259), we get a palindrome (996585699).

The spelling of 952045440 in words is "nine hundred fifty-two million, forty-five thousand, four hundred forty".