952484896000 has 720 divisors, whose sum is σ = 2773064548800. Its totient is φ = 325062144000.

The previous prime is 952484895997. The next prime is 952484896003. The reversal of 952484896000 is 698484259.

It is an interprime number because it is at equal distance from previous prime (952484895997) and next prime (952484896003).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952484896003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8901727947 + ... + 8901728053.

It is an arithmetic number, because the mean of its divisors is an integer number (3851478540).

Almost surely, 2^952484896000 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 952484896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386532274400).

952484896000 is an abundant number, since it is smaller than the sum of its proper divisors (1820579652800).

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

952484896000 is an equidigital number, since it uses as much as digits as its factorization.

952484896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 952484896000 in words is "nine hundred fifty-two billion, four hundred eighty-four million, eight hundred ninety-six thousand".