953738240 has 352 divisors, whose sum is σ = 2971261440. Its totient is φ = 285474816.

The previous prime is 953738221. The next prime is 953738249. The reversal of 953738240 is 42837359.

It is not an unprimeable number, because it can be changed into a prime (953738249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10716116 + ... + 10716204.

Almost surely, 2^953738240 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 953738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485630720).

953738240 is an abundant number, since it is smaller than the sum of its proper divisors (2017523200).

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

953738240 is a wasteful number, since it uses less digits than its factorization.

953738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 953738240 is about 30882.6527357998. The cubic root of 953738240 is about 984.3353121683.

The spelling of 953738240 in words is "nine hundred fifty-three million, seven hundred thirty-eight thousand, two hundred forty".