959242400 has 72 divisors (see below), whose sum is σ = 2346037344. Its totient is φ = 382995200.

The previous prime is 959242397. The next prime is 959242421. The reversal of 959242400 is 4242959.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824219 + ... + 825381.

It is an arithmetic number, because the mean of its divisors is an integer number (32583852).

Almost surely, 2^959242400 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 959242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173018672).

959242400 is an abundant number, since it is smaller than the sum of its proper divisors (1386794944).

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

959242400 is a wasteful number, since it uses less digits than its factorization.

959242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 959242400 is about 30971.6386392454. The cubic root of 959242400 is about 986.2252611243.

The spelling of 959242400 in words is "nine hundred fifty-nine million, two hundred forty-two thousand, four hundred".