966230496 has 432 divisors, whose sum is σ = 3670404192. Its totient is φ = 235192320.

The previous prime is 966230453. The next prime is 966230501. The reversal of 966230496 is 694032669.

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, 4146796 + ... + 4147028.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^966230496 is an apocalyptic number.

966230496 is a gapful number since it is divisible by the number (96) 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 966230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835202096).

966230496 is an abundant number, since it is smaller than the sum of its proper divisors (2704173696).

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

966230496 is a wasteful number, since it uses less digits than its factorization.

966230496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 966230496 is about 31084.2483582923. The cubic root of 966230496 is about 988.6143578028.

The spelling of 966230496 in words is "nine hundred sixty-six million, two hundred thirty thousand, four hundred ninety-six".