964471200 has 576 divisors, whose sum is σ = 4157733888. Its totient is φ = 188006400.

The previous prime is 964471199. The next prime is 964471223. The reversal of 964471200 is 2174469.

It is a happy number.

964471200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141447 + ... + 3141753.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^964471200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078866944).

964471200 is an abundant number, since it is smaller than the sum of its proper divisors (3193262688).

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

964471200 is a wasteful number, since it uses less digits than its factorization.

964471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 964471200 is about 31055.9366305381. The cubic root of 964471200 is about 988.0139758823.

The spelling of 964471200 in words is "nine hundred sixty-four million, four hundred seventy-one thousand, two hundred".