1064454720 has 448 divisors, whose sum is σ = 4129284096. Its totient is φ = 227082240.

The previous prime is 1064454709. The next prime is 1064454733. The reversal of 1064454720 is 274544601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1064454720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10973712 + ... + 10973808.

It is an arithmetic number, because the mean of its divisors is an integer number (9217152).

Almost surely, 2^1064454720 is an apocalyptic number.

1064454720 is a gapful number since it is divisible by the number (10) 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 1064454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064642048).

1064454720 is an abundant number, since it is smaller than the sum of its proper divisors (3064829376).

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

1064454720 is a wasteful number, since it uses less digits than its factorization.

1064454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1064454720 is about 32625.9822840631. The cubic root of 1064454720 is about 1021.0391562700.

The spelling of 1064454720 in words is "one billion, sixty-four million, four hundred fifty-four thousand, seven hundred twenty".