4462446000 has 160 divisors (see below), whose sum is σ = 14420952000. Its totient is φ = 1187174400.

The previous prime is 4462445989. The next prime is 4462446019. The reversal of 4462446000 is 6442644.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4253476 + ... + 4254524.

It is an arithmetic number, because the mean of its divisors is an integer number (90130950).

Almost surely, 2^4462446000 is an apocalyptic number.

4462446000 is a gapful number since it is divisible by the number (40) 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 4462446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210476000).

4462446000 is an abundant number, since it is smaller than the sum of its proper divisors (9958506000).

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

4462446000 is a wasteful number, since it uses less digits than its factorization.

4462446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4462446000 is about 66801.5418983724. The cubic root of 4462446000 is about 1646.3581753304.

Adding to 4462446000 its reverse (6442644), we get a palindrome (4468888644).

The spelling of 4462446000 in words is "four billion, four hundred sixty-two million, four hundred forty-six thousand".