1442400 has 72 divisors (see below), whose sum is σ = 4702824. Its totient is φ = 384000.

The previous prime is 1442393. The next prime is 1442411. The reversal of 1442400 is 42441.

1442400 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 1201²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1442400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2100 + ... + 2700.

It is an arithmetic number, because the mean of its divisors is an integer number (65317).

2^1442400 is an apocalyptic number.

1442400 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 1442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351412).

1442400 is an abundant number, since it is smaller than the sum of its proper divisors (3260424).

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

1442400 is a wasteful number, since it uses less digits than its factorization.

1442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1442400 is about 1200.9995836802. Note that the first 3 decimals coincide. The cubic root of 1442400 is about 112.9870243800.

Adding to 1442400 its reverse (42441), we get a palindrome (1484841).

The spelling of 1442400 in words is "one million, four hundred forty-two thousand, four hundred".