964755456 has 136 divisors (see below), whose sum is σ = 2944378944. Its totient is φ = 275251200.

The previous prime is 964755431. The next prime is 964755479. The reversal of 964755456 is 654557469.

It is a junction number, because it is equal to n+sod(n) for n = 964755399 and 964755408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375906 + ... + 1376606.

Almost surely, 2^964755456 is an apocalyptic number.

964755456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472189472).

964755456 is an abundant number, since it is smaller than the sum of its proper divisors (1979623488).

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

964755456 is an frugal number, since it uses more digits than its factorization.

964755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 713 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The square root of 964755456 is about 31060.5128096752. The cubic root of 964755456 is about 988.1110312477. Note that the first 3 decimals are identical.

The spelling of 964755456 in words is "nine hundred sixty-four million, seven hundred fifty-five thousand, four hundred fifty-six".