532419840 has 216 divisors, whose sum is σ = 1862962920. Its totient is φ = 140378112.

The previous prime is 532419817. The next prime is 532419857. The reversal of 532419840 is 48914235.

532419840 is a `hidden beast` number, since 532 + 41 + 9 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 502477056 = 5472^2 + 22416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 532419795 and 532419804.

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 23 ways as a sum of consecutive naturals, for example, 1301556 + ... + 1301964.

Almost surely, 2^532419840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931481460).

532419840 is an abundant number, since it is smaller than the sum of its proper divisors (1330543080).

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

532419840 is a wasteful number, since it uses less digits than its factorization.

532419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 532419840 is about 23074.2245806874. The cubic root of 532419840 is about 810.4969972322.

The spelling of 532419840 in words is "five hundred thirty-two million, four hundred nineteen thousand, eight hundred forty".