552464640 has 864 divisors, whose sum is σ = 2571319296. Its totient is φ = 106168320.

The previous prime is 552464639. The next prime is 552464641. The reversal of 552464640 is 46464255.

552464640 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (552464639) and next prime (552464641).

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

It is a junction number, because it is equal to n+sod(n) for n = 552464595 and 552464604.

It is not an unprimeable number, because it can be changed into a prime (552464641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17821425 + ... + 17821455.

It is an arithmetic number, because the mean of its divisors is an integer number (2976064).

Almost surely, 2^552464640 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 552464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285659648).

552464640 is an abundant number, since it is smaller than the sum of its proper divisors (2018854656).

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

552464640 is a wasteful number, since it uses less digits than its factorization.

552464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 552464640 is about 23504.5663648577. The cubic root of 552464640 is about 820.5432846275.

The spelling of 552464640 in words is "five hundred fifty-two million, four hundred sixty-four thousand, six hundred forty".