952268800 has 144 divisors (see below), whose sum is σ = 2699358480. Its totient is φ = 326369280.

The previous prime is 952268783. The next prime is 952268803. The reversal of 952268800 is 8862259.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952268803) 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, 357072 + ... + 359728.

It is an arithmetic number, because the mean of its divisors is an integer number (18745545).

Almost surely, 2^952268800 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 952268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349679240).

952268800 is an abundant number, since it is smaller than the sum of its proper divisors (1747089680).

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

952268800 is a wasteful number, since it uses less digits than its factorization.

952268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 952268800 is about 30858.8528626714. The cubic root of 952268800 is about 983.8295251858.

The spelling of 952268800 in words is "nine hundred fifty-two million, two hundred sixty-eight thousand, eight hundred".