553443840 has 400 divisors, whose sum is σ = 2112233112. Its totient is φ = 138018816.

The previous prime is 553443827. The next prime is 553443883. The reversal of 553443840 is 48344355.

553443840 is a `hidden beast` number, since 5 + 534 + 43 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 460359936 + 93083904 = 21456^2 + 9648^2 .

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 = 553443795 and 553443804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3525042 + ... + 3525198.

Almost surely, 2^553443840 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 553443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056116556).

553443840 is an abundant number, since it is smaller than the sum of its proper divisors (1558789272).

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

553443840 is a wasteful number, since it uses less digits than its factorization.

553443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 553443840 is about 23525.3871381535. The cubic root of 553443840 is about 821.0277812473.

The spelling of 553443840 in words is "five hundred fifty-three million, four hundred forty-three thousand, eight hundred forty".