1482817536 has 144 divisors (see below), whose sum is σ = 4404002400. Its totient is φ = 493092864.

The previous prime is 1482817507. The next prime is 1482817543. The reversal of 1482817536 is 6357182841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1482817536² = 4397495690138222592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1482817491 and 1482817500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538735 + ... + 3539153.

It is an arithmetic number, because the mean of its divisors is an integer number (30583350).

Almost surely, 2^1482817536 is an apocalyptic number.

1482817536 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 1482817536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202001200).

1482817536 is an abundant number, since it is smaller than the sum of its proper divisors (2921184864).

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

1482817536 is an frugal number, since it uses more digits than its factorization.

1482817536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 424 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1482817536 is about 38507.3698920090. The cubic root of 1482817536 is about 1140.3265546485.

The spelling of 1482817536 in words is "one billion, four hundred eighty-two million, eight hundred seventeen thousand, five hundred thirty-six".