964427200 has 168 divisors, whose sum is σ = 2660593104. Its totient is φ = 340992000.

The previous prime is 964427197. The next prime is 964427201. The reversal of 964427200 is 2724469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964427201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650460 + ... + 651940.

Almost surely, 2^964427200 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 964427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330296552).

964427200 is an abundant number, since it is smaller than the sum of its proper divisors (1696165904).

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

964427200 is a wasteful number, since it uses less digits than its factorization.

964427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 964427200 is about 31055.2282232799. The cubic root of 964427200 is about 987.9989509733.

The spelling of 964427200 in words is "nine hundred sixty-four million, four hundred twenty-seven thousand, two hundred".