560052000 has 288 divisors, whose sum is σ = 2036047104. Its totient is φ = 145728000.

The previous prime is 560051981. The next prime is 560052019. The reversal of 560052000 is 250065.

It is an interprime number because it is at equal distance from previous prime (560051981) and next prime (560052019).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1691835 + ... + 1692165.

It is an arithmetic number, because the mean of its divisors is an integer number (7069608).

Almost surely, 2^560052000 is an apocalyptic number.

560052000 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 560052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018023552).

560052000 is an abundant number, since it is smaller than the sum of its proper divisors (1475995104).

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

560052000 is a wasteful number, since it uses less digits than its factorization.

560052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 560052000 is about 23665.4178074252. The cubic root of 560052000 is about 824.2825718906.

It can be divided in two parts, 5600 and 52000, that added together give a square (57600 = 240²).

The spelling of 560052000 in words is "five hundred sixty million, fifty-two thousand".