552276000 has 432 divisors, whose sum is σ = 2119604760. Its totient is φ = 136012800.

The previous prime is 552275989. The next prime is 552276001. The reversal of 552276000 is 672255.

552276000 is a `hidden beast` number, since 5 + 52 + 2 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168272784 + 384003216 = 12972^2 + 19596^2 .

It is not an unprimeable number, because it can be changed into a prime (552276001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19043986 + ... + 19044014.

Almost surely, 2^552276000 is an apocalyptic number.

552276000 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 552276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059802380).

552276000 is an abundant number, since it is smaller than the sum of its proper divisors (1567328760).

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

552276000 is a wasteful number, since it uses less digits than its factorization.

552276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 552276000 is about 23500.5531849784. The cubic root of 552276000 is about 820.4498820246.

The spelling of 552276000 in words is "five hundred fifty-two million, two hundred seventy-six thousand".