562548000 has 384 divisors, whose sum is σ = 2175054336. Its totient is φ = 124416000.

The previous prime is 562547983. The next prime is 562548023. The reversal of 562548000 is 845265.

562548000 is digitally balanced in base 6, 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3107910 + ... + 3108090.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2^562548000 is an apocalyptic number.

562548000 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 562548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087527168).

562548000 is an abundant number, since it is smaller than the sum of its proper divisors (1612506336).

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

562548000 is a wasteful number, since it uses less digits than its factorization.

562548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 562548000 is about 23718.0943585272. The cubic root of 562548000 is about 825.5052919273.

The spelling of 562548000 in words is "five hundred sixty-two million, five hundred forty-eight thousand".