964400000 has 96 divisors (see below), whose sum is σ = 2402424360. Its totient is φ = 385600000.

The previous prime is 964399993. The next prime is 964400053. The reversal of 964400000 is 4469.

964400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

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, 398795 + ... + 401205.

Almost surely, 2^964400000 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 964400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201212180).

964400000 is an abundant number, since it is smaller than the sum of its proper divisors (1438024360).

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

964400000 is an frugal number, since it uses more digits than its factorization.

964400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 964400000 is about 31054.7902907104. The cubic root of 964400000 is about 987.9896626192.

Adding to 964400000 its reverse (4469), we get a palindrome (964404469).

The spelling of 964400000 in words is "nine hundred sixty-four million, four hundred thousand".