552763008 has 256 divisors, whose sum is σ = 1896057600. Its totient is φ = 155271168.

The previous prime is 552762967. The next prime is 552763009. The reversal of 552763008 is 800367255.

552763008 is a `hidden beast` number, since 552 + 76 + 30 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (552763009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765860 + ... + 1766172.

It is an arithmetic number, because the mean of its divisors is an integer number (7406475).

Almost surely, 2^552763008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948028800).

552763008 is an abundant number, since it is smaller than the sum of its proper divisors (1343294592).

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

552763008 is a wasteful number, since it uses less digits than its factorization.

552763008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 552763008 is about 23510.9125301423. The cubic root of 552763008 is about 820.6909741992.

The spelling of 552763008 in words is "five hundred fifty-two million, seven hundred sixty-three thousand, eight".