1482008416 has 96 divisors (see below), whose sum is σ = 3431248128. Its totient is φ = 616896000.

The previous prime is 1482008399. The next prime is 1482008441. The reversal of 1482008416 is 6148002841.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2417326 + ... + 2417938.

It is an arithmetic number, because the mean of its divisors is an integer number (35742168).

Almost surely, 2^1482008416 is an apocalyptic number.

1482008416 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 1482008416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715624064).

1482008416 is an abundant number, since it is smaller than the sum of its proper divisors (1949239712).

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

1482008416 is a wasteful number, since it uses less digits than its factorization.

1482008416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1482008416 is about 38496.8624176049. The cubic root of 1482008416 is about 1140.1191052329.

The spelling of 1482008416 in words is "one billion, four hundred eighty-two million, eight thousand, four hundred sixteen".