1446682464 has 96 divisors (see below), whose sum is σ = 4277478240. Its totient is φ = 475600896.

The previous prime is 1446682459. The next prime is 1446682481. The reversal of 1446682464 is 4642866441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1446682464² = 4185780303290222592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 51604 + ... + 74540.

It is an arithmetic number, because the mean of its divisors is an integer number (44557065).

Almost surely, 2^1446682464 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 1446682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138739120).

1446682464 is an abundant number, since it is smaller than the sum of its proper divisors (2830795776).

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

1446682464 is a wasteful number, since it uses less digits than its factorization.

1446682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23029 (or 23015 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 1446682464 is about 38035.2792023406. The cubic root of 1446682464 is about 1130.9873282709.

The spelling of 1446682464 in words is "one billion, four hundred forty-six million, six hundred eighty-two thousand, four hundred sixty-four".