552972000 has 384 divisors, whose sum is σ = 2151152640. Its totient is φ = 121497600.

The previous prime is 552971999. The next prime is 552972011. The reversal of 552972000 is 279255.

It is a happy number.

552972000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435887 + ... + 2436113.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^552972000 is an apocalyptic number.

552972000 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 552972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

552972000 is an abundant number, since it is smaller than the sum of its proper divisors (1598180640).

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

552972000 is a wasteful number, since it uses less digits than its factorization.

552972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 552972000 is about 23515.3566845158. The cubic root of 552972000 is about 820.7943917783.

The spelling of 552972000 in words is "five hundred fifty-two million, nine hundred seventy-two thousand".