1484342496 has 720 divisors, whose sum is σ = 5839827840. Its totient is φ = 365783040.

The previous prime is 1484342459. The next prime is 1484342537. The reversal of 1484342496 is 6942434841.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 47882001 + ... + 47882031.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2^1484342496 is an apocalyptic number.

1484342496 is a gapful number since it is divisible by the number (16) 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 1484342496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919913920).

1484342496 is an abundant number, since it is smaller than the sum of its proper divisors (4355485344).

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

1484342496 is a wasteful number, since it uses less digits than its factorization.

1484342496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1484342496 is about 38527.1656886410. The cubic root of 1484342496 is about 1140.7173324653.

The spelling of 1484342496 in words is "one billion, four hundred eighty-four million, three hundred forty-two thousand, four hundred ninety-six".