247064000 has 112 divisors (see below), whose sum is σ = 620511840. Its totient is φ = 97433600.

The previous prime is 247063987. The next prime is 247064003. The reversal of 247064000 is 460742.

It is a super-2 number, since 2×247064000² = 122081240192000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247064003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711827 + ... + 712173.

Almost surely, 2^247064000 is an apocalyptic number.

247064000 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 247064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310255920).

247064000 is an abundant number, since it is smaller than the sum of its proper divisors (373447840).

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

247064000 is an equidigital number, since it uses as much as digits as its factorization.

247064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 247064000 is about 15718.2696248665. The cubic root of 247064000 is about 627.4847220928.

The spelling of 247064000 in words is "two hundred forty-seven million, sixty-four thousand".