1446465072 has 80 divisors (see below), whose sum is σ = 4038852608. Its totient is φ = 443439360.

The previous prime is 1446465071. The next prime is 1446465073. The reversal of 1446465072 is 2705646441.

It is an interprime number because it is at equal distance from previous prime (1446465071) and next prime (1446465073).

It is a super-2 number, since 2×1446465072² = 4184522409031930368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1446465072.

It is not an unprimeable number, because it can be changed into a prime (1446465071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172497 + ... + 180687.

Almost surely, 2^1446465072 is an apocalyptic number.

1446465072 is a gapful number since it is divisible by the number (12) 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 1446465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019426304).

1446465072 is an abundant number, since it is smaller than the sum of its proper divisors (2592387536).

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

1446465072 is a wasteful number, since it uses less digits than its factorization.

1446465072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8492 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 1446465072 is about 38032.4213270730. The cubic root of 1446465072 is about 1130.9306745316.

The spelling of 1446465072 in words is "one billion, four hundred forty-six million, four hundred sixty-five thousand, seventy-two".