553913600 has 216 divisors, whose sum is σ = 1478155392. Its totient is φ = 205004800.

The previous prime is 553913599. The next prime is 553913603. The reversal of 553913600 is 6319355.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553913603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7801565 + ... + 7801635.

It is an arithmetic number, because the mean of its divisors is an integer number (6843312).

Almost surely, 2^553913600 is an apocalyptic number.

553913600 is a gapful number since it is divisible by the number (50) 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 553913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739077696).

553913600 is an abundant number, since it is smaller than the sum of its proper divisors (924241792).

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

553913600 is a wasteful number, since it uses less digits than its factorization.

553913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 32.

The square root of 553913600 is about 23535.3691281866. The cubic root of 553913600 is about 821.2600101332.

The spelling of 553913600 in words is "five hundred fifty-three million, nine hundred thirteen thousand, six hundred".