1448900000 has 72 divisors (see below), whose sum is σ = 3565670220. Its totient is φ = 579520000.

The previous prime is 1448899997. The next prime is 1448900003. The reversal of 1448900000 is 98441.

It is an interprime number because it is at equal distance from previous prime (1448899997) and next prime (1448900003).

It can be written as a sum of positive squares in 6 ways, for example, as 398880784 + 1050019216 = 19972^2 + 32404^2 .

It is a super-2 number, since 2×1448900000² = 4198622420000000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1448900003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92756 + ... + 107244.

Almost surely, 2^1448900000 is an apocalyptic number.

1448900000 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 1448900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782835110).

1448900000 is an abundant number, since it is smaller than the sum of its proper divisors (2116770220).

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

1448900000 is an frugal number, since it uses more digits than its factorization.

1448900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14524 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1448900000 is about 38064.4190813416. The cubic root of 1448900000 is about 1131.5649083112.

Adding to 1448900000 its reverse (98441), we get a palindrome (1448998441).

The spelling of 1448900000 in words is "one billion, four hundred forty-eight million, nine hundred thousand".