952369920 has 288 divisors, whose sum is σ = 3580597440. Its totient is φ = 238878720.

The previous prime is 952369897. The next prime is 952369921. The reversal of 952369920 is 29963259.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (952369921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586710 + ... + 588330.

It is an arithmetic number, because the mean of its divisors is an integer number (12432630).

Almost surely, 2^952369920 is an apocalyptic number.

952369920 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 952369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790298720).

952369920 is an abundant number, since it is smaller than the sum of its proper divisors (2628227520).

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

952369920 is a wasteful number, since it uses less digits than its factorization.

952369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 952369920 is about 30860.4912469001. The cubic root of 952369920 is about 983.8643477487.

The spelling of 952369920 in words is "nine hundred fifty-two million, three hundred sixty-nine thousand, nine hundred twenty".