1446414444 has 72 divisors (see below), whose sum is σ = 3884811840. Its totient is φ = 452470752.

The previous prime is 1446414443. The next prime is 1446414479. The reversal of 1446414444 is 4444146441.

1446414444 is a `hidden beast` number, since 1 + 4 + 4 + 641 + 4 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×1446414444² = 4184229487623658272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1446414399 and 1446414408.

It is not an unprimeable number, because it can be changed into a prime (1446414443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63307 + ... + 83069.

It is an arithmetic number, because the mean of its divisors is an integer number (53955720).

Almost surely, 2^1446414444 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 1446414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942405920).

1446414444 is an abundant number, since it is smaller than the sum of its proper divisors (2438397396).

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

1446414444 is a wasteful number, since it uses less digits than its factorization.

1446414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19899 (or 19894 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 1446414444 is about 38031.7557312307. The cubic root of 1446414444 is about 1130.9174797375.

The spelling of 1446414444 in words is "one billion, four hundred forty-six million, four hundred fourteen thousand, four hundred forty-four".