959388480 has 336 divisors, whose sum is σ = 3459016704. Its totient is φ = 243855360.

The previous prime is 959388449. The next prime is 959388511. The reversal of 959388480 is 84883959.

It is a happy number.

959388480 is a `hidden beast` number, since 9 + 593 + 8 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (959388449) and next prime (959388511).

It is a super-3 number, since 3×959388480³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7554177 + ... + 7554303.

Almost surely, 2^959388480 is an apocalyptic number.

959388480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729508352).

959388480 is an abundant number, since it is smaller than the sum of its proper divisors (2499628224).

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

959388480 is a wasteful number, since it uses less digits than its factorization.

959388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 959388480 is about 30973.9968360559. The cubic root of 959388480 is about 986.2753216282.

The spelling of 959388480 in words is "nine hundred fifty-nine million, three hundred eighty-eight thousand, four hundred eighty".