1451448960 has 128 divisors (see below), whose sum is σ = 4982463360. Its totient is φ = 357273600.

The previous prime is 1451448883. The next prime is 1451448979. The reversal of 1451448960 is 698441541.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116 + ... + 54035.

It is an arithmetic number, because the mean of its divisors is an integer number (38925495).

Almost surely, 2^1451448960 is an apocalyptic number.

1451448960 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 1451448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491231680).

1451448960 is an abundant number, since it is smaller than the sum of its proper divisors (3531014400).

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

1451448960 is a wasteful number, since it uses less digits than its factorization.

1451448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58186 (or 58174 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1451448960 is about 38097.8865555558. The cubic root of 1451448960 is about 1132.2280835802.

The spelling of 1451448960 in words is "one billion, four hundred fifty-one million, four hundred forty-eight thousand, nine hundred sixty".