952205520 has 320 divisors, whose sum is σ = 3708334080. Its totient is φ = 197074944.

The previous prime is 952205489. The next prime is 952205521. The reversal of 952205520 is 25502259.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952205521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733512 + ... + 734808.

It is an arithmetic number, because the mean of its divisors is an integer number (11588544).

Almost surely, 2^952205520 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 952205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854167040).

952205520 is an abundant number, since it is smaller than the sum of its proper divisors (2756128560).

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

952205520 is a wasteful number, since it uses less digits than its factorization.

952205520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 952205520 is about 30857.8275320866. The cubic root of 952205520 is about 983.8077322805.

Adding to 952205520 its reverse (25502259), we get a palindrome (977707779).

The spelling of 952205520 in words is "nine hundred fifty-two million, two hundred five thousand, five hundred twenty".