247008000 has 288 divisors, whose sum is σ = 857106432. Its totient is φ = 62976000.

The previous prime is 247007963. The next prime is 247008001. The reversal of 247008000 is 800742.

It is a happy number.

It is a super-2 number, since 2×247008000² = 122025904128000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247008001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2975959 + ... + 2976041.

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

Almost surely, 2^247008000 is an apocalyptic number.

247008000 is a gapful number since it is divisible by the number (20) 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 247008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553216).

247008000 is an abundant number, since it is smaller than the sum of its proper divisors (610098432).

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

247008000 is an equidigital number, since it uses as much as digits as its factorization.

247008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 247008000 is about 15716.4881573461. The cubic root of 247008000 is about 627.4373095469.

Adding to 247008000 its reverse (800742), we get a palindrome (247808742).

The spelling of 247008000 in words is "two hundred forty-seven million, eight thousand".