966794400 has 576 divisors, whose sum is σ = 4120986240. Its totient is φ = 215654400.

The previous prime is 966794393. The next prime is 966794419. The reversal of 966794400 is 4497669.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088644 + ... + 3088956.

It is an arithmetic number, because the mean of its divisors is an integer number (7154490).

Almost surely, 2^966794400 is an apocalyptic number.

966794400 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 966794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060493120).

966794400 is an abundant number, since it is smaller than the sum of its proper divisors (3154191840).

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

966794400 is a wasteful number, since it uses less digits than its factorization.

966794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 966794400 is about 31093.3176100589. The cubic root of 966794400 is about 988.8066429000.

The spelling of 966794400 in words is "nine hundred sixty-six million, seven hundred ninety-four thousand, four hundred".