553921200 has 480 divisors, whose sum is σ = 2391275520. Its totient is φ = 118886400.

The previous prime is 553921189. The next prime is 553921211. The reversal of 553921200 is 2129355.

553921200 is a `hidden beast` number, since 5 + 539 + 2 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (553921189) and next prime (553921211).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284985 + ... + 1285415.

It is an arithmetic number, because the mean of its divisors is an integer number (4981824).

Almost surely, 2^553921200 is an apocalyptic number.

553921200 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 553921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195637760).

553921200 is an abundant number, since it is smaller than the sum of its proper divisors (1837354320).

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

553921200 is a wasteful number, since it uses less digits than its factorization.

553921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 553921200 is about 23535.5305867533. The cubic root of 553921200 is about 821.2637661628.

The spelling of 553921200 in words is "five hundred fifty-three million, nine hundred twenty-one thousand, two hundred".