953349440 has 56 divisors (see below), whose sum is σ = 2273759232. Its totient is φ = 380736000.

The previous prime is 953349433. The next prime is 953349461. The reversal of 953349440 is 44943359.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238337 + ... + 242303.

Almost surely, 2^953349440 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 953349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136879616).

953349440 is an abundant number, since it is smaller than the sum of its proper divisors (1320409792).

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

953349440 is a wasteful number, since it uses less digits than its factorization.

953349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 953349440 is about 30876.3572981011. The cubic root of 953349440 is about 984.2015362641.

The spelling of 953349440 in words is "nine hundred fifty-three million, three hundred forty-nine thousand, four hundred forty".