1448100 has 54 divisors (see below), whose sum is σ = 4541810. Its totient is φ = 385920.

The previous prime is 1448087. The next prime is 1448171. The reversal of 1448100 is 18441.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 1028196 = 648^2 + 1014^2 .

It is a super-2 number, since 2×1448100² = 4193987220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96 + ... + 1704.

2^1448100 is an apocalyptic number.

1448100 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 1448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270905).

1448100 is an abundant number, since it is smaller than the sum of its proper divisors (3093710).

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

1448100 is a wasteful number, since it uses less digits than its factorization.

1448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1448100 is about 1203.3702672079. The cubic root of 1448100 is about 113.1356608086.

It can be divided in two parts, 144 and 8100, that multiplied together give a square (1166400 = 1080²).

The spelling of 1448100 in words is "one million, four hundred forty-eight thousand, one hundred".