1453968768 has 320 divisors, whose sum is σ = 4799793600. Its totient is φ = 388813824.

The previous prime is 1453968701. The next prime is 1453968779. The reversal of 1453968768 is 8678693541.

It is a super-2 number, since 2×1453968768² = 4228050356638875648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17517655 + ... + 17517737.

It is an arithmetic number, because the mean of its divisors is an integer number (14999355).

Almost surely, 2^1453968768 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 1453968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399896800).

1453968768 is an abundant number, since it is smaller than the sum of its proper divisors (3345824832).

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

1453968768 is an frugal number, since it uses more digits than its factorization.

1453968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 1453968768 is about 38130.9423959073. The cubic root of 1453968768 is about 1132.8829115158.

The spelling of 1453968768 in words is "one billion, four hundred fifty-three million, nine hundred sixty-eight thousand, seven hundred sixty-eight".