1442360304 has 320 divisors, whose sum is σ = 5216808960. Its totient is φ = 370656000.

The previous prime is 1442360203. The next prime is 1442360323. The reversal of 1442360304 is 4030632441.

1442360304 is a `hidden beast` number, since 14 + 42 + 3 + 603 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4357419 + ... + 4357749.

It is an arithmetic number, because the mean of its divisors is an integer number (16302528).

Almost surely, 2^1442360304 is an apocalyptic number.

1442360304 is a gapful number since it is divisible by the number (14) 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 1442360304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608404480).

1442360304 is an abundant number, since it is smaller than the sum of its proper divisors (3774448656).

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

1442360304 is a wasteful number, since it uses less digits than its factorization.

1442360304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1442360304 is about 37978.4189244365. The cubic root of 1442360304 is about 1129.8598787281.

Adding to 1442360304 its reverse (4030632441), we get a palindrome (5472992745).

The spelling of 1442360304 in words is "one billion, four hundred forty-two million, three hundred sixty thousand, three hundred four".