1442193480 has 576 divisors, whose sum is σ = 6199502400. Its totient is φ = 287400960.

The previous prime is 1442193451. The next prime is 1442193481. The reversal of 1442193480 is 843912441.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1442193481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4356915 + ... + 4357245.

It is an arithmetic number, because the mean of its divisors is an integer number (10763025).

Almost surely, 2^1442193480 is an apocalyptic number.

1442193480 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 1442193480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099751200).

1442193480 is an abundant number, since it is smaller than the sum of its proper divisors (4757308920).

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

1442193480 is a wasteful number, since it uses less digits than its factorization.

1442193480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1442193480 is about 37976.2225609657. Note that the first 3 decimals coincide. The cubic root of 1442193480 is about 1129.8163170255.

The spelling of 1442193480 in words is "one billion, four hundred forty-two million, one hundred ninety-three thousand, four hundred eighty".