959508480 has 416 divisors, whose sum is σ = 3698924544. Its totient is φ = 207618048.

The previous prime is 959508479. The next prime is 959508481. The reversal of 959508480 is 84805959.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (959508479) and next prime (959508481).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959508481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9891792 + ... + 9891888.

Almost surely, 2^959508480 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 959508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849462272).

959508480 is an abundant number, since it is smaller than the sum of its proper divisors (2739416064).

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

959508480 is a wasteful number, since it uses less digits than its factorization.

959508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 959508480 is about 30975.9338842270. The cubic root of 959508480 is about 986.3164409130.

The spelling of 959508480 in words is "nine hundred fifty-nine million, five hundred eight thousand, four hundred eighty".