959481600 has 648 divisors, whose sum is σ = 4045157760. Its totient is φ = 195993600.

The previous prime is 959481599. The next prime is 959481613. The reversal of 959481600 is 6184959.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16262371 + ... + 16262429.

Almost surely, 2^959481600 is an apocalyptic number.

It is a pronic number, being equal to 30975×30976.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022578880).

959481600 is an abundant number, since it is smaller than the sum of its proper divisors (3085676160).

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

959481600 is a wasteful number, since it uses less digits than its factorization.

959481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 959481600 is about 30975.4999959646. The cubic root of 959481600 is about 986.3072304911.

The spelling of 959481600 in words is "nine hundred fifty-nine million, four hundred eighty-one thousand, six hundred".