1442414592 has 192 divisors, whose sum is σ = 4287037560. Its totient is φ = 467140608.

The previous prime is 1442414591. The next prime is 1442414609. The reversal of 1442414592 is 2954142441.

1442414592 is a `hidden beast` number, since 1 + 4 + 424 + 145 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442414591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19759068 + ... + 19759140.

Almost surely, 2^1442414592 is an apocalyptic number.

1442414592 is a gapful number since it is divisible by the number (12) 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 1442414592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143518780).

1442414592 is an abundant number, since it is smaller than the sum of its proper divisors (2844622968).

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

1442414592 is an frugal number, since it uses more digits than its factorization.

1442414592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1442414592 is about 37979.1336394078. The cubic root of 1442414592 is about 1129.8740538879.

The spelling of 1442414592 in words is "one billion, four hundred forty-two million, four hundred fourteen thousand, five hundred ninety-two".