959028480 has 432 divisors, whose sum is σ = 3615917760. Its totient is φ = 233766912.

The previous prime is 959028457. The next prime is 959028491. The reversal of 959028480 is 84820959.

It is a super-2 number, since 2×959028480² = 1839471250902220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11554519 + ... + 11554601.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^959028480 is an apocalyptic number.

959028480 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 959028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807958880).

959028480 is an abundant number, since it is smaller than the sum of its proper divisors (2656889280).

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

959028480 is a wasteful number, since it uses less digits than its factorization.

959028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 959028480 is about 30968.1849645729. The cubic root of 959028480 is about 986.1519431973.

It can be divided in two parts, 9 and 59028480, that added together give a square (59028489 = 7683²).

The spelling of 959028480 in words is "nine hundred fifty-nine million, twenty-eight thousand, four hundred eighty".