956486880 has 288 divisors, whose sum is σ = 3441451104. Its totient is φ = 250822656.

The previous prime is 956486857. The next prime is 956486899. The reversal of 956486880 is 88684659.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×956486880² = 1829734303224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2838072 + ... + 2838408.

It is an arithmetic number, because the mean of its divisors is an integer number (11949483).

Almost surely, 2^956486880 is an apocalyptic number.

956486880 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 956486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720725552).

956486880 is an abundant number, since it is smaller than the sum of its proper divisors (2484964224).

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

956486880 is a wasteful number, since it uses less digits than its factorization.

956486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 956486880 is about 30927.1220775552. The cubic root of 956486880 is about 985.2800117796.

The spelling of 956486880 in words is "nine hundred fifty-six million, four hundred eighty-six thousand, eight hundred eighty".