1482879552 has 448 divisors, whose sum is σ = 5266944000. Its totient is φ = 364277760.

The previous prime is 1482879547. The next prime is 1482879631. The reversal of 1482879552 is 2559782841.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1482879495 and 1482879504.

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, 16661524 + ... + 16661612.

Almost surely, 2^1482879552 is an apocalyptic number.

1482879552 is a gapful number since it is divisible by the number (12) 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 1482879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472000).

1482879552 is an abundant number, since it is smaller than the sum of its proper divisors (3784064448).

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

1482879552 is a wasteful number, since it uses less digits than its factorization.

1482879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The square root of 1482879552 is about 38508.1751320418. The cubic root of 1482879552 is about 1140.3424517507.

The spelling of 1482879552 in words is "one billion, four hundred eighty-two million, eight hundred seventy-nine thousand, five hundred fifty-two".