552764520 has 768 divisors, whose sum is σ = 2546380800. Its totient is φ = 103403520.

The previous prime is 552764519. The next prime is 552764533. The reversal of 552764520 is 25467255.

552764520 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 645 + 2 + 0 = 666.

It is a super-2 number, since 2×552764520² = 611097229141660800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24033229 + ... + 24033251.

It is an arithmetic number, because the mean of its divisors is an integer number (3315600).

Almost surely, 2^552764520 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 552764520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273190400).

552764520 is an abundant number, since it is smaller than the sum of its proper divisors (1993616280).

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

552764520 is a wasteful number, since it uses less digits than its factorization.

552764520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 552764520 is about 23510.9446854013. The cubic root of 552764520 is about 820.6917224907.

The spelling of 552764520 in words is "five hundred fifty-two million, seven hundred sixty-four thousand, five hundred twenty".