964146456 has 256 divisors, whose sum is σ = 3326668800. Its totient is φ = 251942400.

The previous prime is 964146451. The next prime is 964146457. The reversal of 964146456 is 654641469.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964146451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3557601 + ... + 3557871.

It is an arithmetic number, because the mean of its divisors is an integer number (12994800).

Almost surely, 2^964146456 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 964146456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663334400).

964146456 is an abundant number, since it is smaller than the sum of its proper divisors (2362522344).

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

964146456 is a wasteful number, since it uses less digits than its factorization.

964146456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 964146456 is about 31050.7078180192. The cubic root of 964146456 is about 987.9030730967.

The spelling of 964146456 in words is "nine hundred sixty-four million, one hundred forty-six thousand, four hundred fifty-six".