553827456 has 320 divisors, whose sum is σ = 2031986880. Its totient is φ = 145815552.

The previous prime is 553827451. The next prime is 553827473. The reversal of 553827456 is 654728355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553827451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943195 + ... + 943781.

It is an arithmetic number, because the mean of its divisors is an integer number (6349959).

Almost surely, 2^553827456 is an apocalyptic number.

553827456 is a gapful number since it is divisible by the number (56) 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 553827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015993440).

553827456 is an abundant number, since it is smaller than the sum of its proper divisors (1478159424).

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

553827456 is a wasteful number, since it uses less digits than its factorization.

553827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 553827456 is about 23533.5389603859. The cubic root of 553827456 is about 821.2174341249.

The spelling of 553827456 in words is "five hundred fifty-three million, eight hundred twenty-seven thousand, four hundred fifty-six".