1442385 has 48 divisors (see below), whose sum is σ = 3020160. Its totient is φ = 622080.

The previous prime is 1442377. The next prime is 1442393. The reversal of 1442385 is 5832441.

1442385 = 218² + 219² + ... + 244².

It is an interprime number because it is at equal distance from previous prime (1442377) and next prime (1442393).

It is not a de Polignac number, because 1442385 - 2³ = 1442377 is a prime.

It is an Ulam number.

1442385 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5865 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (62920).

2^1442385 is an apocalyptic number.

1442385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1442385 is an abundant number, since it is smaller than the sum of its proper divisors (1577775).

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

1442385 is a wasteful number, since it uses less digits than its factorization.

1442385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1442385 is about 1200.9933388658. The cubic root of 1442385 is about 112.9866327154.

The spelling of 1442385 in words is "one million, four hundred forty-two thousand, three hundred eighty-five".