1448900 has 18 divisors (see below), whose sum is σ = 3144330. Its totient is φ = 579520.

The previous prime is 1448879. The next prime is 1448903. The reversal of 1448900 is 98441.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 1444804 = 64^2 + 1202^2 .

It is a super-2 number, since 2×1448900² = 4198622420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1448900.

It is not an unprimeable number, because it can be changed into a prime (1448903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7145 + ... + 7344.

It is an arithmetic number, because the mean of its divisors is an integer number (174685).

2^1448900 is an apocalyptic number.

1448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1448900 is an abundant number, since it is smaller than the sum of its proper divisors (1695430).

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

1448900 is a wasteful number, since it uses less digits than its factorization.

1448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503 (or 14496 counting only the distinct ones).

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

The square root of 1448900 is about 1203.7026210821. The cubic root of 1448900 is about 113.1564908311.

The spelling of 1448900 in words is "one million, four hundred forty-eight thousand, nine hundred".