966242400 has 72 divisors (see below), whose sum is σ = 3145126824. Its totient is φ = 257664000.

The previous prime is 966242393. The next prime is 966242411. The reversal of 966242400 is 4242669.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198901 + ... + 203700.

It is an arithmetic number, because the mean of its divisors is an integer number (43682317).

Almost surely, 2^966242400 is an apocalyptic number.

It is an amenable number.

966242400 is an abundant number, since it is smaller than the sum of its proper divisors (2178884424).

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

966242400 is a wasteful number, since it uses less digits than its factorization.

966242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402624 (or 402611 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 966242400 is about 31084.4398373205. The cubic root of 966242400 is about 988.6184177095.

It can be divided in two parts, 96 and 6242400, that multiplied together give a square (599270400 = 24480²).

The spelling of 966242400 in words is "nine hundred sixty-six million, two hundred forty-two thousand, four hundred".