1441600 has 84 divisors (see below), whose sum is σ = 3826764. Its totient is φ = 532480.

The previous prime is 1441591. The next prime is 1441603. The reversal of 1441600 is 61441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 1420864 = 144^2 + 1192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441603) 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, 27174 + ... + 27226.

2^1441600 is an apocalyptic number.

1441600 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 1441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913382).

1441600 is an abundant number, since it is smaller than the sum of its proper divisors (2385164).

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

1441600 is a wasteful number, since it uses less digits than its factorization.

1441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1441600 is about 1200.6664815843. Note that the first 3 decimals coincide. The cubic root of 1441600 is about 112.9661318085.

1441600 divided by its sum of digits (16) gives a triangular number (90100 = T₄₂₄).

It can be divided in two parts, 144 and 1600, that multiplied together give a square (230400 = 480²).

The spelling of 1441600 in words is "one million, four hundred forty-one thousand, six hundred".