1825439616 has 384 divisors, whose sum is σ = 7057290240. Its totient is φ = 437391360.

The previous prime is 1825439593. The next prime is 1825439639. The reversal of 1825439616 is 6169345281.

1825439616 is a `hidden beast` number, since 1 + 8 + 2 + 543 + 96 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (1825439593) and next prime (1825439639).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152361 + ... + 1153943.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^1825439616 is an apocalyptic number.

1825439616 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 1825439616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

1825439616 is an abundant number, since it is smaller than the sum of its proper divisors (5231850624).

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

1825439616 is a wasteful number, since it uses less digits than its factorization.

1825439616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1825439616 is about 42725.1637328636. The cubic root of 1825439616 is about 1222.1443109393.

The spelling of 1825439616 in words is "one billion, eight hundred twenty-five million, four hundred thirty-nine thousand, six hundred sixteen".