952340480 has 312 divisors, whose sum is σ = 2902169592. Its totient is φ = 297271296.

The previous prime is 952340453. The next prime is 952340489. The reversal of 952340480 is 84043259.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 928055296 = 4928^2 + 30464^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 952340480.

It is not an unprimeable number, because it can be changed into a prime (952340489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13045724 + ... + 13045796.

Almost surely, 2^952340480 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 952340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451084796).

952340480 is an abundant number, since it is smaller than the sum of its proper divisors (1949829112).

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

952340480 is a wasteful number, since it uses less digits than its factorization.

952340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 952340480 is about 30860.0142579358. The cubic root of 952340480 is about 983.8542097885.

The spelling of 952340480 in words is "nine hundred fifty-two million, three hundred forty thousand, four hundred eighty".